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 864, 1440 i.e. 4320 smallest integer divisible by all numbers.
Least common multiple (LCM) of 864, 1440 is 4320.
LCM(864, 1440) = 4320
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 864, 1440 |
2 | 432, 720 |
2 | 216, 360 |
2 | 108, 180 |
2 | 54, 90 |
3 | 27, 45 |
3 | 9, 15 |
3, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 4320
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 864,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,1440) = 288
common factors(in case of two or more numbers have common factors) = 1
GCF(864,1440) x common factors =288 x 1 = 288
LCM(864,1440) = ( 864 × 1440 ) / 288
LCM(864,1440) = 1244160 / 288
LCM(864,1440) = 4320
∴ Least Common Multiple of 864,1440 is 4320
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 1440?
Answer: LCM of 864, 1440 is 4320.
2. What are the Factors of 4320?
Answer: Factors of 4320 are . There are integers that are factors of 4320
3. How to Find the LCM of 864, 1440 ?
Least Common Multiple of 864, 1440.
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(864, 1440) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 4320.