Answered

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Find the smallest non-zero whole number that is
divisible by 315, 378 and 392.

Sagot :

sqdancefan

Answer:

  52920

Step-by-step 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.

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