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To find common multiples of two numbers, you first have to break them down into their prime factors. In this case, the prime factors of 30 and 75 are:

30 = 2x3x5

75 = 3x5x5

The next step is to identify and discard any duplicate common factors. In this case both numbers have a 3 and a 5 as prime factors, so we can discard one of each. Taking all the other prime factors (2, 3, 5 and 5) and multiplying them together will give us the LCM:

2x3x5x5 = 150. Thus the lowest common multiple of 30 and 75 is 150. To find other common multiples, you just multiply this LCM by any integer. For instance, 150x2, 150x3, 150x4 and so on. This means the first few common multiples of 30 and 75 are 150, 300, 450 and 600.

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12y ago
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7y ago

The multiples of 15 are 15, 30, 45, 60 and so on.

The multiples of 30 are 30, 60, 90, 120 and so on.

Common multiples include any multiple of 30.

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12y ago

It goes on forever. if you mean the LCM or least common multiple, then it is 300

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6y ago

The common factors are 1, 3, 5 and 15. The common multiples are any multiple of 150.

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12y ago

390, 780, 1170 and so on to infinity.

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8y ago

None. The LCM of 30 and 75 is 150.

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Q: What are all of the common factors and multiples of 30 and 75?
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