What is the LCM of 52 28 and 7?

Answer 1

LCM re 52, 28 and 7:

As 7 factorizes directly into 28 giving a whole number result, therefore, whatever 28 will do when multiplied, 7 can also multiply to give, whereas neither 28, nor 7 will divide evenly into 52.

Therefore, what the product of 28 and 52 will give, 7 can also divide into:

52X28=1456 ... so we know that this will be one common multiple.

However, it is possible that 28 will go into the product of 7 and 52, AND it is possible that 52 may go into the product of 7 and 28:

By trial:

7X52=364/28=13: so 364 works; however, the 2nd possibility does not.

It is unlikely that there will be any lower Common Multiple than this as 7 is a Prime number, and what 7 can't do, neither can 28, being a multiple of 7.

So the answer is 364.