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Answered 2015-09-03 13:08:35

The least common multiple of 24 and 36 is 72. There are no other common multiples in that range. The most common multiple is infinite.

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What is the common multiples of 28 and 42?

The traditional method is to list the multiples of each number and pick the smallest multiple they have in common. This can be very tasking for large numbers. The traditional solution is shown below: [Method 1] Steps: 1. List the multiples of each number: 28 - 28, 56, 84, 112, 140... 42 - 42, 84, 126, 168, 210... 2. Pick the smallest multiple they have in common which in this case is 84. If there are no common multiples, continue listing multiples until a common multiple is produced. [Method 2 - Prime factorization Method] Steps: 1. Find the prime factorization of each number. 28 - 2*2*7 42 - 2*3*7 2. Circle the prime factors they have in common one pair at a time. One pair of twos and one pair of sevens. The other 2 and 3 remain uncircled. 3. Multiply one number from each of the pairs by each of the uncircled prime factors remaining to get the LCM (least common multiple). 2*7*2*3 = 84


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How do you find the HCM of a pair of numbers?

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Can a pair of numbers have more than one common multiple or more than one common factor using a diagram to explain thinking?

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