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The smallest natural number which is divisible by 24, 58, 48 and 12 is:
Question

The smallest natural number which is divisible by 24, 58, 48 and 12 is:

A.

1465

B.

1392

C.

1441

D.

1312

Correct option is B

Given:
Numbers to find the smallest natural number divisible by 24, 58, 48, and 12.
Formula Used:
The smallest natural number divisible by multiple numbers is the Least Common Multiple (LCM) of those numbers.
Solution:
24=23×358=2×2948=24×312=22×324 = 2^3 × 3\\58 = 2 × 29\\48 = 2^4 × 3\\12 = 2^2 × 3\\​​
LCM = 24×3×29=16×3×29=13922^4 × 3 × 29 = 16 × 3 × 29 = 1392​​
The smallest natural number divisible by 24, 58, 48, and 12 is 1392.

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