asked 48.1k views
12 votes
Find the smallest non-zero whole number that is
divisible by 315, 378 and 392.

asked
User Spiralis
by
7.8k points

1 Answer

7 votes

Answer:

52920

Explanation:

You have described the Least Common Multiple (LCM) of the three numbers. That can be found by considering their unique factors. The LCM is the product of the unique factors, 2³, 3³, 5, 7².

315 = 3×3×5×7

378 = 2×3×3×3×7

392 = 2×2×2×7×7

The LCM will be ...

2×2×2×3×3×3×5×7×7 = 52920

The smallest natural number divisible by 314, 378, and 392 is 52920.

answered
User Reveka
by
8.3k points

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