Question

Find the least number which when divided by 12, 16 ,24 and 36 leaves a remainder 7 in each case. *
141
131
133
151​

Answer 1

Answer:

The smallest number which divides 12 16 24 and 36 is 144. But we have a condition that it leaves a remainder of 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 151.