Question

the hcf of 65 and 177 is expressible in the from of 75m-177 find the value of m .also find the LCM of 65 and 177 by price factors method​

Answer 1

Step-by-step explanation:

65= 5 × 13

117= 3 × 3 × 13

Therefore, HCF of 65 and 117 is 13.

So, 65m−117=13

or, 65m=130

Therefore,

m = 2

And LCM

LCM = 13 × 5 × 3 × 3

= 65 × 5 × 9

= 65 × 45

= 2925

Therefore, LCM of 65 and 117 is 2925

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