Question

Find the LCM and HCF of 198 and 144 and verify HCF and LCM equal to product of numbers

Answer 1

144=2×2×2×2×3×3
198=2×3×3×11


LCM(144,198)=Product of greatest power of each factor
=2^4×3^2×11
=1,584

HCF(144,198)=Product of lowest power of each common factor
=2×3×3
=18



LCM×HCF
=1,584×18
=28,512

Product of the two numbers
144×198
=28,512


Hence,verified thatLCM×HCF=Product of the two numbers