Find the $L . C . M$ of $24, 60, 150$ by fundamental theorem of arithmetic.

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Solution

According to fundamental theorem of arithmetic, every integer greater than $1$ is prime number or presented as product of prime factorization also know as unique prime factorization.
Therefore,
$24 = 2^{3} \times 3$
$60 = 2^{2} \times 3 \times 5$
$150 = 2 \times 3 \times 5^{2}$
$∴$ LCM $= 2^{3} \times 3 \times 5^{2} = 600$
Hence the LCM of $24, 60, 150$ is $600$ .

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Find the L.C.M of 24,60,150 by fundamental theorem of arithmetic.

According to fundamental theorem of arithmetic, every integer greater than 1 is prime number or presented as product of prime factorization also know as unique prime factorization.Therefore,24=23×360=22×3×5150=2×3×52∴ LCM =23×3×52=600Hence the LCM of 24,60,150 is 600.

Find the $L . C . M$ of $24, 60, 150$ by fundamental theorem of arithmetic.