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 645, 864, 180 i.e. 185760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 645, 864, 180 is 185760.
LCM(645, 864, 180) = 185760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 645, 864, 180 |
2 | 645, 432, 90 |
3 | 645, 216, 45 |
3 | 215, 72, 15 |
5 | 215, 24, 5 |
43, 24, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 43 x 24 x 1 = 185760
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 645,864,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,864,180) = 3
common factors(in case of two or more numbers have common factors) = 180
GCF(645,864,180) x common factors =3 x 180 = 540
LCM(645,864,180) = ( 645 × 864 × 180 ) / 540
LCM(645,864,180) = 100310400 / 540
LCM(645,864,180) = 185760
∴ Least Common Multiple of 645,864,180 is 185760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 645, 864, 180?
Answer: LCM of 645, 864, 180 is 185760.
2. What are the Factors of 185760?
Answer: Factors of 185760 are . There are integers that are factors of 185760
3. How to Find the LCM of 645, 864, 180 ?
Least Common Multiple of 645, 864, 180.
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(645, 864, 180) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 43 = 185760.