Question

find the least number which when divided by 12 16 24 and 36 leaves a remainder 7 ?find a Find the least number which when divided by 12 16 24 and 36 leaves a remainder 7

Answer 1

For finding least number that is divided by 12,16,24,36 we find thier lcm

lcm of 12,16,24,36 = 144

for leaving remainder 7 in each case we add 7 to 144 = 144+7= 151

so the number which is divided by 12,16,24,63 by leaving remainder of 7 is 151