The least common multiple of 5, 12 and 24 is 120. This multiple can be found by looking at the common prime factors of the three numbers.
Know MoreFive is a prime number already, so it does not need to be factored. Twelve has three prime factors: 2 x 2 x 3. Twenty-four has four prime factors: 2 x 2 x 2 x 3. The way to find the least common multiple is to take the highest number of occurrences of the same number. That is, in this problem, 12 has two 2s as prime factors while 24 has three 2s. Therefore, when multiplying for the least common multiple, the problem solver will need to use three 2s. Both 12 and 24 only have one 3, so the problem solver needs to use one 3, as well as one 5 from the original prime number. The problem solver then multiplies them together, 2 x 2 x 2 x 3 x 5, to get 120.
Learn more about ArithmeticThe least common multiple of 24 and 42 is 168. The least common multiple of a set of numbers is the smallest number that can be evenly divided by the set of numbers in question.
Full Answer >To find the least common multiple of two numbers, factor the two numbers, noting the frequency of the prime factors, and then multiply the most repeated factors together. Perform division to check your answer when complete.
Full Answer >The lowest common multiple of 9 and 12 is 36. The least common multiple of two numbers (x and y) is the smallest number that has both x and y as factors.
Full Answer >The lowest common multiple of 24 and 40 is 120. The number 24 multiplied by 5 is 120, and 40 multiplied by 3 is also 120.
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