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 831, 561, 493, 960, 429 i.e. 18747094080 smallest integer divisible by all numbers.
Least common multiple (LCM) of 831, 561, 493, 960, 429 is 18747094080.
LCM(831, 561, 493, 960, 429) = 18747094080
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 831, 561, 493, 960, 429 |
11 | 277, 187, 493, 320, 143 |
17 | 277, 17, 493, 320, 13 |
277, 1, 29, 320, 13 |
∴ So the LCM of the given numbers is 3 x 11 x 17 x 277 x 1 x 29 x 320 x 13 = 18747094080
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 831,561,493,960,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,561,493,960,429) = 1
common factors(in case of two or more numbers have common factors) = 5049
GCF(831,561,493,960,429) x common factors =1 x 5049 = 5049
LCM(831,561,493,960,429) = ( 831 × 561 × 493 × 960 × 429 ) / 5049
LCM(831,561,493,960,429) = 94654078009920 / 5049
LCM(831,561,493,960,429) = 18747094080
∴ Least Common Multiple of 831,561,493,960,429 is 18747094080
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 831, 561, 493, 960, 429?
Answer: LCM of 831, 561, 493, 960, 429 is 18747094080.
2. What are the Factors of 18747094080?
Answer: Factors of 18747094080 are . There are integers that are factors of 18747094080
3. How to Find the LCM of 831, 561, 493, 960, 429 ?
Least Common Multiple of 831, 561, 493, 960, 429.
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(831, 561, 493, 960, 429) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 17 x 29 x 277 = 18747094080.