Question

2.If M is prime number then, find the HCF and LCM of 6M, 9M2, 30M3, 24M4.

Answer 1

when M is a prime number→

Factors of 6M = 2×3×M

Factors of 9M² = 3×3×M×M

Factors of 30M³ = 2×3×5×M×M×M

Factors of 24M⁴ = 2×2×2×3×M×M×M×M

Common factors of 6M , 9M² , 30M³ AND 24M⁴ ARE → {3,M}

So, HCF (6M,9M²,30M³,24M⁴) = 3×M = 3M

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LCM(6M,9M²,30M³,24M⁴)

= 2×2×2×3×3×5×M×M×M×M×M×M

= 360M^6

Answer →

HCF (6M,9M²,30M³,24M⁴) = 3M

LCM(6M,9M²,30M³,24M⁴) = 360M^6
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