L.C.M. of $12, 24$ and $36$ is ______

36

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24

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72

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108

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Solution

The correct option is C $72$
The LCM or lowest common factor of $24, 36, 12$ is the result of multiplying all prime factors the greatest number of times they occur in either number.

$24 = 2 \times 2 \times 2 \times 3$
$36 = 2 \times 2 \times 3 \times 3$
$12 = 2 \times 2 \times 3$

The LCM of $24, 36, 12$ is $2 \times 2 \times 2 \times 3 \times 3 = 72$

So option C is the correct answer.

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Similar questions

H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 2 $^{4}$ x 3 $^{5}$ x 5 $^{2}$ x 7 $^{2}$ . The third number is ____.

12, 24

36

\frac{7}{9}, \frac{3}{36}, \frac{11}{108}

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