Question

Guyz maths plz help
Find the HCF and LCM of a and b, for the numbers a=2^3×3^7×5^2×7 and b=2^3×3^2×5^6×11. Also check if HCF (a, b) ×LCM(a, b) =a×b
​

Answer 1

HCF is the least power common in both,

so HCF of given numbers = 2^3×3^2×5^2

LCM is greatest power

so LCM of given numbers =

2^5×3^7×5^6×7×11

Now LCM×HCF=(2^5×3^7×5^6×7×11)×

(2^3×3^2×5^2)

= 2^8×3^9×5^8×7×11

a×b = (2^5×3^7×5^2×7)×

(2^3×3^2×5^6×11)

= 2^8×3^9×5^8×7×11

Hence a×b=HCF×LCM