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find the least number ,which when …

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find the least number ,which when divided by 25,30and70 leaves a remainder11.
  • 1 answers

Yogita Ingle 5 years, 9 months ago

25 = 5 x 5

30 = 3 x 2 x 5

70 = 5 x 2 x7

Common factors = 5 x 2 = 10

uncommon factors = 7 x 3 x 5 = 105

L.C.M = Common factors x uncommon factors

L.C.M = 10 x 105 = 1050

The least number which when divided by 25,30,70 leaves remainder 11 is 1050 + 11 = 1061

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