Question

How many times is the hcf of 48,36,72 and 24 contained in their lcm?

Answer 1

Answer:

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Answer 2

Answer:

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

Step-by-step explanation:

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.

In arithmetic and number theory, A least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer  is divisible by both a and b. Even division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero. However, some authors define lcm(a,0) as 0 for all a, so 0 is the only common multiple of a and 0.

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