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 2160, 8640 i.e. 8640 smallest integer divisible by all numbers.
Least common multiple (LCM) of 2160, 8640 is 8640.
LCM(2160, 8640) = 8640
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 2160, 8640 |
2 | 1080, 4320 |
2 | 540, 2160 |
2 | 270, 1080 |
3 | 135, 540 |
3 | 45, 180 |
3 | 15, 60 |
5 | 5, 20 |
1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 1 x 4 = 8640
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 2160,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2160,8640) = 2160
common factors(in case of two or more numbers have common factors) = 1
GCF(2160,8640) x common factors =2160 x 1 = 2160
LCM(2160,8640) = ( 2160 × 8640 ) / 2160
LCM(2160,8640) = 18662400 / 2160
LCM(2160,8640) = 8640
∴ Least Common Multiple of 2160,8640 is 8640
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2160, 8640?
Answer: LCM of 2160, 8640 is 8640.
2. What are the Factors of 8640?
Answer: Factors of 8640 are . There are integers that are factors of 8640
3. How to Find the LCM of 2160, 8640 ?
Least Common Multiple of 2160, 8640.
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(2160, 8640) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 8640.