Question

find the HCF and LCM Of the 1515 and 420 and hence verify the result (LCM×HCF=product of two numbers)

Answer 1

Using Prime Factorisation Method

1515=3×5×101

420=2×2×3×5×7

HCF of 1515 and 420 = 3×5=15

LCM of 1515 and 420 =2×2×3×5×7×101=42,420

To prove: LCM×HCF=product of two numbers

42,420×15=1,515×420

6,36,300=6,36,300

LHS= RHS

Hence Proved.