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CBSE Class 6 Answered

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Asked by Topperlearning User | 13 May, 2014, 03:19: PM
answered-by-expert Expert Answer

 

L.C.M. of 12,16, 18, 21, 28:

Factors of 12 - 2 x 2 x 3

Factors of 16 - 2 x 2 x 2 x 2

Factors of 18 - 2 x 3 x 3

Factors of 21 - 3 x 7

Factors of 28 - 2 x 2 x 7

LCM - 2 x 2 x 2 x 2 x 3 x 3 x 7 = 1008

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7



= 1008 + 7

= 1015

 

Answered by | 13 May, 2014, 05:19: PM
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