Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 422, 204, 244, 831, 974 i.e. 354202145916 smallest integer divisible by all numbers.
Least common multiple (LCM) of 422, 204, 244, 831, 974 is 354202145916.
LCM(422, 204, 244, 831, 974) = 354202145916
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 422, 204, 244, 831, 974 |
2 | 211, 102, 122, 831, 487 |
3 | 211, 51, 61, 831, 487 |
211, 17, 61, 277, 487 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 211 x 17 x 61 x 277 x 487 = 354202145916
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 422,204,244,831,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,204,244,831,974) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(422,204,244,831,974) x common factors =1 x 48 = 48
LCM(422,204,244,831,974) = ( 422 × 204 × 244 × 831 × 974 ) / 48
LCM(422,204,244,831,974) = 17001703003968 / 48
LCM(422,204,244,831,974) = 354202145916
∴ Least Common Multiple of 422,204,244,831,974 is 354202145916
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 204, 244, 831, 974?
Answer: LCM of 422, 204, 244, 831, 974 is 354202145916.
2. What are the Factors of 354202145916?
Answer: Factors of 354202145916 are . There are integers that are factors of 354202145916
3. How to Find the LCM of 422, 204, 244, 831, 974 ?
Least Common Multiple of 422, 204, 244, 831, 974.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(422, 204, 244, 831, 974) = 2 x 2 x 3 x 17 x 61 x 211 x 277 x 487 = 354202145916.