What is the LCM of 400 and 1008?
The LCM of 400 and 1008 is 25200.
Steps to find LCM
- Find the prime factorization of 400
400 = 2 × 2 × 2 × 2 × 5 × 5 - Find the prime factorization of 1008
1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7 - Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 - LCM = 25200
MathStep (Works offline)
Download our mobile app and learn how to find LCM of upto four numbers in your own time:
Android and iPhone/ iPad
Find least common multiple (LCM) of: 800 & 2016 200 & 504 1200 & 3024 2000 & 5040 2800 & 7056 800 & 1008 400 & 2016 1200 & 1008 400 & 3024 2000 & 1008 400 & 5040 2800 & 1008 400 & 7056
LCM Calculator
Enter two numbers separate by comma. To find least common multiple (LCM) of more than two numbers, click here.