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 120, 560, 541, 128, 864 i.e. 65439360 smallest integer divisible by all numbers.
Least common multiple (LCM) of 120, 560, 541, 128, 864 is 65439360.
LCM(120, 560, 541, 128, 864) = 65439360
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 120, 560, 541, 128, 864 |
2 | 60, 280, 541, 64, 432 |
2 | 30, 140, 541, 32, 216 |
2 | 15, 70, 541, 16, 108 |
2 | 15, 35, 541, 8, 54 |
3 | 15, 35, 541, 4, 27 |
5 | 5, 35, 541, 4, 9 |
1, 7, 541, 4, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 7 x 541 x 4 x 9 = 65439360
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 120,560,541,128,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,560,541,128,864) = 1
common factors(in case of two or more numbers have common factors) = 61440
GCF(120,560,541,128,864) x common factors =1 x 61440 = 61440
LCM(120,560,541,128,864) = ( 120 × 560 × 541 × 128 × 864 ) / 61440
LCM(120,560,541,128,864) = 4020594278400 / 61440
LCM(120,560,541,128,864) = 65439360
∴ Least Common Multiple of 120,560,541,128,864 is 65439360
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 120, 560, 541, 128, 864?
Answer: LCM of 120, 560, 541, 128, 864 is 65439360.
2. What are the Factors of 65439360?
Answer: Factors of 65439360 are . There are integers that are factors of 65439360
3. How to Find the LCM of 120, 560, 541, 128, 864 ?
Least Common Multiple of 120, 560, 541, 128, 864.
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(120, 560, 541, 128, 864) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 541 = 65439360.