Question

Find the LCM and HCF of 78 and 117 using the fundamental theorem of arithmetic.

Answer 1

sorry its wrong. Hcf is 13. so , LCM will be 78 x 117 divided by 13 will be 702

Answer 2

Answer:

HCF and LCM are 39 and 234 respectively.

Step-by-step explanation:

Given two numbers 78 and 117

we have to find the LCM and HCF by prime factorization.

Prime factors of 78 and 117 are

$78=2\times 3\times 13$

$117=3\times 3\times 13$

$\text{The common prime factors are }3\times 13$

Hence, $HCF(78,117)=3\times 13=39$

$LCM(78,117)=\frac{a\times b}{HCF(78,117)}=\frac{78\times 117}{39}=234$

HCF and LCM are 39 and 234 respectively.