Question

find the least number which when divided by 12,16,24 and 36 leaves a remainder 9​

Answer 1

the smallest number which divides 12,16,24 and 36 is 144. but we have a condition that it leaves a remainder 7, so we add 7 to the lcm (144+7=151). hence the smallest number that when divided by 12,16,24 and 36 leaves a remainder 7 is 51

Answer 2

Answer:

first take LCM of the number

Step-by-step explanation:

12=2×2×3

16=2×2×2×2

24=2×2×2×3

36=2×2×3×3

LCM is 144

so now we have condition for reminder 7so now we have to add 144to 7

( 144+7) =151

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