Find the least number which when divided by 12,15,20 and54 leaves a remainder 8
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Find the least number which when divided by 12,15,20 and54 leaves a remainder 8
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First we will find the LCM of 12, 15, 20, 54
12 = 2×2×3
15 = 5×3
20 = 5×2×2
54 = 2×3×3×3
Common factors => There is no common factor so let the common factors be 1
LCM of 12, 15, 20, 54 = 2×2×3×5×3×5×2×2×2×3×3×3
= 540
So to find the least number = 540 + 8 = 548