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

Answer»

As per the question,

48=2×2×2×2×3=2^4×336=2×2×3×3=2^2×3^272=2×2×2×3×3=2^3×3^224=2×2×2×3=2^3×3

HCF=2×2×3=12LCM=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.


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