// Numbas version: finer_feedback_settings
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(e.g., the LCM of 4 and 6 is 12, because that is the lowest number that the times tables of 4 and 6 have in common).</p>\n<p>A highest common factors is the highest number&nbsp;that is the list of factors of both given numbers&nbsp;(e.g., the HCF of 10 and 15 is 5, because that is the highest number in both lists of factors).</p>", "showQuestionGroupNames": false, "functions": {}, "variables": {"answers": {"name": "answers", "group": "Ungrouped variables", "definition": "[a,b,c,a*b,a*c,b*c,1,product]", "description": "", "templateType": "anything"}, "lcm": {"name": "lcm", "group": "Ungrouped variables", "definition": "lcm(k,l)", "description": "", "templateType": "anything"}, "l": {"name": "l", "group": "Ungrouped variables", "definition": "random(4..15 except k)", "description": "", "templateType": "anything"}, "lcm4": {"name": "lcm4", "group": "Ungrouped variables", "definition": "lcm(p,q)", "description": "", "templateType": "anything"}, "hcf2": {"name": "hcf2", "group": "Ungrouped variables", "definition": "gcd(n,m)+1", "description": "", "templateType": "anything"}, "g": {"name": "g", "group": "Ungrouped variables", "definition": "random(2..10 except b)", "description": "", "templateType": "anything"}, "h": {"name": "h", "group": "Ungrouped variables", "definition": "random(1..100 except [d,f,g])", "description": "", "templateType": "anything"}, "lcm2": {"name": "lcm2", "group": "Ungrouped variables", "definition": "lcm(n,m)", "description": "", "templateType": "anything"}, "wa1": {"name": "wa1", "group": "Ungrouped variables", "definition": "random(1..product except answers)", "description": "", "templateType": "anything"}, "hcf3": {"name": "hcf3", "group": "Ungrouped variables", "definition": "gcd(p,q)", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1,2,3)", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(5,7)", "description": "", "templateType": "anything"}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "random(4..12)", "description": "", "templateType": "anything"}, "ca2": {"name": "ca2", "group": "Ungrouped variables", "definition": "random(answers except ca1)", "description": "", "templateType": "anything"}, "ca1": {"name": "ca1", "group": "Ungrouped variables", "definition": "random(answers)", "description": "", "templateType": "anything"}, "product": {"name": "product", "group": "Ungrouped variables", "definition": "a*b*c", "description": "", "templateType": "anything"}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "random(2..15 except [k,l,lcm])", "description": "", "templateType": "anything"}, "wa2": {"name": "wa2", "group": "Ungrouped variables", "definition": "random(1..product except [a,b,c,a*b,a*c,b*c,1,product,wa1])", "description": "", "templateType": "anything"}, "p": {"name": "p", "group": "Ungrouped variables", "definition": "random(6..24)", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1..12)", "description": "", "templateType": "anything"}, "j": {"name": "j", "group": "Ungrouped variables", "definition": "random(1..50 except [d,f,g,h])", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2,3)", "description": "", "templateType": "anything"}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "random(6..15 except [k,l,lcm,m])", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything"}, "hcf": {"name": "hcf", "group": "Ungrouped variables", "definition": "gcd(k,l)", "description": "", "templateType": "anything"}, "q": {"name": "q", "group": "Ungrouped variables", "definition": "random(4..36 except p)", "description": "", "templateType": "anything"}}, "metadata": {"description": "<p>Multiples, factors, lowest common multiples and highest common factors.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "name": "Marlon's copy of Johan's copy of Multiples and Factors", "parts": [{"maxMarks": 0, "shuffleChoices": true, "variableReplacementStrategy": "originalfirst", "minMarks": 0, "displayColumns": 0, "distractors": ["", "", "", ""], "matrix": ["1", "1", 0, 0], "marks": 0, "choices": ["<p>$\\var{ca1}$</p>", "<p>$\\var{ca2}$</p>", "<p>$\\var{wa1}$</p>", "<p>$\\var{wa2}$</p>"], "scripts": {}, "minAnswers": 0, "displayType": "checkbox", "variableReplacements": [], "showCorrectAnswer": true, "maxAnswers": "0", "prompt": "<p>Choose all of&nbsp;the factors of $\\var{product}$.</p>", "type": "m_n_2", "warningType": "warn"}, {"maxMarks": "2", "shuffleChoices": true, "variableReplacementStrategy": "originalfirst", "minMarks": 0, "displayColumns": 0, "distractors": ["", "", "", ""], "matrix": [0, "1", "1", 0], "marks": 0, "choices": ["<p>$\\var{h}$</p>", "<p>$\\var{d*f}$</p>", "<p>$\\var{d*g}$</p>", "<p>$\\var{j}$</p>"], "scripts": {}, "minAnswers": 0, "displayType": "checkbox", "variableReplacements": [], "showCorrectAnswer": true, "maxAnswers": "0", "prompt": "<p>Choose all of the multiples of $\\var{d}$.</p>", "type": "m_n_2", "warningType": "none"}, {"maxMarks": 0, "shuffleChoices": true, "variableReplacementStrategy": "originalfirst", "minMarks": 0, "displayColumns": 0, "distractors": ["", "", "", ""], "matrix": ["1", 0, 0, 0], "scripts": {}, "choices": ["<p>$\\var{lcm}$</p>", "<p>$\\var{lcm2}$</p>", "<p>$\\var{hcf}$</p>", "<p>$\\var{hcf+1}$</p>"], "marks": 0, "displayType": "radiogroup", "variableReplacements": [], "showCorrectAnswer": true, "prompt": "<p>Give the lowest common multiple of $\\var{k}$ and $\\var{l}$.</p>", "type": "1_n_2"}, {"maxMarks": 0, "shuffleChoices": false, "variableReplacementStrategy": "originalfirst", "minMarks": 0, "displayColumns": 0, "distractors": ["", "", "", ""], "matrix": ["1", 0, 0, 0], "scripts": {}, "choices": ["<p>$\\var{hcf3}$</p>", "<p>$\\var{hcf2}$</p>", "<p>$\\var{lcm4}$</p>", "<p>$\\var{lcm}$</p>"], "marks": 0, "displayType": "radiogroup", "variableReplacements": [], "showCorrectAnswer": true, "prompt": "<p>Give the highest common factor of $\\var{p}$ and $\\var{q}$.</p>", "type": "1_n_2"}], "type": "question", "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<p>Solve the following.</p>", "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}]}], "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}