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There are many common multiples of 120 and 149. A common multiple is simply a multiple of both numbers. The least common multiple is 120x149, since 149 is prime. (Note: this trick doesn't work on all pairs of number. Although the product is always a multiple, it's not the least common multiple.)
Lowest common multiple, also known as least common multiple, or LCM, is found by finding the, least common multiple. For example, if you have the numbers 2, 4, and 8, and you want to find the LCM, you could start by seeing if any of the numbers fit into the other numbers. 2 goes into 4 two times, and into 8 four times. 4 also goes into 8 two times, because of this, the greatest common multiple would be 8. lets find the LCM of 4 and 9. You look and see that 4 doesnt go into 9 evenly, so another method you could use is to multiply both numbers together. 4x9= 36. 4 goes into 36 nine times and 9 goes into 36 four times. I know this doesn't exactly answer your question, but here are some good tips on finding the LCM
Since we are talking about common multiple of all these numbers so, we can just find LCM of all these numbers and write down all the multiples of the LCM which are the common multiples of the given numbers. In order to find LCM of the given numbers we have to do a lot of calculation. So, finding the LCM requires a lot of work and therefore we have to to look for another method. If we multiply all these numbers then the result is a common multiple. So, answer is : 4 x 6 x 8 x 10 x ... x 22 = 40874803200 Also, if multiply the answer with any natural number we get a common multiple which means there exists infinite common multiples.
Lowest common multiple would be 120. 20x6=120, 24x5=120. The number would have to end in a 0, because of the 20. The lowest would be 120. 60 wouldn't work because 24 can't divide into it. Hope this helps :D
The way to work this out is to break the number down into its prime factors. In this case, 10 can be expressed as 2x5. Thus two numbers will have 10 as a common multiple if the only unique factors between them is a single 2 and a single 5. This can be achieved with the following pairs: 1 and 10 2 and 10 5 and 10 2 and 5