Question

How many times is the HCF of 48, 36, 72 and 24 contained in their LCM ?​

Answer 1

Answer:

Step-by-step explanation:

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As per the question,

48=2×2×2×2×3=2^4×3.

36=2×2×3×3=2^2×3^2.

72=2×2×2×3×3=2^3×3^2

24=2×2×2×3=2^3×3.

HCF=2×2×3=12.

LCM=2×2×2×2×3×3=144.

144/12=12.

So, 12 times is the HCF of 48,36,72 and 24 contained in their LCM.

Hope it helps.

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