Find the least number which when divided by 3,4,5,6,10and12 leaves a reminder of 2 in each case
The LCM of 3, 4, 5,6,10 and 12 = 60 Therefore, the required number is 2 more than 60. Hence, the required least number = 60 + 2 = 62.
Find the least number which when divided by 2, 3, 4, 5 and 6 leaves a reminder of 1 in each case but when divided by 7 leaves no remainder.