A certain number when divided by 4, 5 or 7 will have a remainder of 3, 4 and 6 respectively. Find the least possible value of the number. ( L.C.M. of 4, 5. 7) -1

The answer is correct.

To find the least possible value of the number, we need to find the least common multiple (LCM) of 4, 5, and 7, and then subtract 1 from it.

Step 1: Find the LCM of 4, 5, and 7.
To find the LCM, we need to find the smallest number that is divisible by all three numbers.

Prime factorization of 4: 2^2
Prime factorization of 5: 5^1
Prime factorization of 7: 7^1

To find the LCM, we take the highest exponent of each prime factor:
LCM = 2^2 * 5^1 * 7^1 = 140

Step 2: Subtract 1 from the LCM.
Least possible value of the number = LCM - 1 = 140 - 1 = 139

Therefore, the least possible value of the number is 139.