Find the LCM of following712,619,4257712,619,4257

To find the Least Common Multiple (LCM) of the numbers 712, 619, and 4257, follow these steps:

1. Prime Factorization: First, we need to find the prime factors of each number.

   • Prime factors of 712 = 2 x 2 x 2 x 89
   • Prime factors of 619 = 619 (since 619 is a prime number)
   • Prime factors of 4257 = 67 x 67

2. Find the LCM: The LCM is the product of the highest power of all prime factors.

   • The prime factors are 2, 89, 619, and 67.
   • The highest power of 2 is 2^3 (from 712), the highest power of 89 is 89^1 (from 712), the highest power of 619 is 619^1 (from 619), and the highest power of 67 is 67^2 (from 4257).

3. Multiply these together to get the LCM.

   • LCM = 2^3 x 89^1 x 619^1 x 67^2
   • LCM = 8 x 89 x 619 x 4489
   • LCM = 202195964824

So, the LCM of 712, 619, and 4257 is 202195964824.