A no. when divided by 36,24and 16,leaves the remainder 11 in each case. find the smallest value of this no.
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Step-by-step explanation:
Least number when divided by 12,16,24,36 and leaves remainder 0
=LCM of 12,16,24,36
So,LCM leaves remainder 0
So,Required number will be 7 more than LCM
∴ Required number=LCM+7
Factors of 12=2×3×2
Factors of 16=2×2×2×2
Factors of 24=2×2×2×3
Factors of 36=2×2×3×3
∴ LCM=2×2×2×2×3×3=16×9=144
So,Required
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