Question

find the smallest 5 digit number which when divided by 16 32 18 24 and 36 leaves remainder 6 in each case answer will 10036 but how explain it​

Answer 1

Answer:

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 number=LCM+7=144+7=151

Answer 2

Answer:

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Step-by-step explanation: