A number when divided by 14 or 15 leaves a remainder 3. Find the least possible value of that number?
To find the least possible value of the number, we need to find the least common multiple (LCM) of 14 and 15.
Step 1: Find the prime factorization of each number:
14 = 2 x 7
15 = 3 x 5
Step 2: Find the highest power of each prime factor that appears in either number:
2^1 x 3^1 x 5^1 x 7^1 = 210
Step 3: Add the remainders to the LCM:
210 + 3 = 213
Therefore, the least possible value of the number is 213.