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 108, 540, 891 i.e. 17820 smallest integer divisible by all numbers.
Least common multiple (LCM) of 108, 540, 891 is 17820.
LCM(108, 540, 891) = 17820
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 108, 540, 891 |
2 | 54, 270, 891 |
3 | 27, 135, 891 |
3 | 9, 45, 297 |
3 | 3, 15, 99 |
1, 5, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 5 x 33 = 17820
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 108,540,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,540,891) = 27
common factors(in case of two or more numbers have common factors) = 108
GCF(108,540,891) x common factors =27 x 108 = 2916
LCM(108,540,891) = ( 108 × 540 × 891 ) / 2916
LCM(108,540,891) = 51963120 / 2916
LCM(108,540,891) = 17820
∴ Least Common Multiple of 108,540,891 is 17820
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 108, 540, 891?
Answer: LCM of 108, 540, 891 is 17820.
2. What are the Factors of 17820?
Answer: Factors of 17820 are . There are integers that are factors of 17820
3. How to Find the LCM of 108, 540, 891 ?
Least Common Multiple of 108, 540, 891.
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(108, 540, 891) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 = 17820.