Find the LCM

35b^4c^5,7b^4c^4,10b^9c^3

Would the answer be 70?

2 answers

The LCM is always equal to or greater than(=>) the greatest coefficient.
In this case, the greatest coefficient
is 35. 35 will work only if it is
divisible by all of the other coefficients. 35 is not divisible by 10. Therefore, it does not meet both
requirements. So we try 2*35(70). It meets both requirements. If 70 had not
met both requirements, we would have
tried 3*35 and so on.
Thank you very much...
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