Math, asked by sirishaharish, 3 months ago

find the least number which when divided by 12, 16, 24, and 36 leaves a remainder 7 in each case

Answers

Answered by kiranjyothsnaganji
2

Answer:

151

Step-by-step explanation:

First we have to find the L.C.M of 12,16,24,36

L.C.M by prime factorization method :

12= 2*2*3

16=2*2*2*2

24= 2*2*2*3

36= 2*2*3*3

L.C.M= 2*2*2*2*3*3 = 144

Add remainder 7 to the L.C.M = 144+7= 151

Therefore, the least number which when divided by 12, 16, 24, and 36 leaves a remainder 7 in each case is 151.

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