Question

Given that HCF (306,657)=9, find L.C.M(306,657).

NEET/Medical Exams

Maths

Solution

308

2.0 (1 ratings)

We know that ( mathrm{HCF}(mathrm{a}, mathrm{b}) times mathrm{LCM}(mathrm{a}, mathrm{b})=mathrm{a} times mathrm{b} ) ( Rightarrow L C M(a, b)=frac{a times b}{H C F(a, b)} ) ( therefore operatorname{LCM}(306,657)=frac{306 times 657}{mathrm{HCF}(306,657)} ) ( =frac{306 times 657}{9}=34 times 657=22338 )