Question

Find the L.C.M. and H.C.F. of $26$ and $91$ and verify that L.C.M. $\times$ H.C.F.=product of two numbers .

Answer 1

Given $2$ numbers are $26$ and $91$

Prime factors of $26=13\times 2$

Prime factors of $91=13\times 7$

So from the prime factors $LCM=13\times 2\times 7=182HCF=13$

Product of the numbers $=26\times 912366$

Product of LCM and HCF $=182\times 132366$

$LHS=RHS$

Hence proved