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 578, 872, 136 i.e. 252008 smallest integer divisible by all numbers.
Least common multiple (LCM) of 578, 872, 136 is 252008.
LCM(578, 872, 136) = 252008
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 578, 872, 136 |
2 | 289, 436, 68 |
2 | 289, 218, 34 |
17 | 289, 109, 17 |
1, 109, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 109 x 17 = 252008
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 578,872,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,872,136) = 2
common factors(in case of two or more numbers have common factors) = 136
GCF(578,872,136) x common factors =2 x 136 = 272
LCM(578,872,136) = ( 578 × 872 × 136 ) / 272
LCM(578,872,136) = 68546176 / 272
LCM(578,872,136) = 252008
∴ Least Common Multiple of 578,872,136 is 252008
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 872, 136?
Answer: LCM of 578, 872, 136 is 252008.
2. What are the Factors of 252008?
Answer: Factors of 252008 are . There are integers that are factors of 252008
3. How to Find the LCM of 578, 872, 136 ?
Least Common Multiple of 578, 872, 136.
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(578, 872, 136) = 2 x 2 x 2 x 17 x 17 x 109 = 252008.