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1. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
= (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548
Solution:
Required number= (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548