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 880, 561, 608, 540 i.e. 15348960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 880, 561, 608, 540 is 15348960.
LCM(880, 561, 608, 540) = 15348960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 880, 561, 608, 540 |
2 | 440, 561, 304, 270 |
2 | 220, 561, 152, 135 |
2 | 110, 561, 76, 135 |
3 | 55, 561, 38, 135 |
5 | 55, 187, 38, 45 |
11 | 11, 187, 38, 9 |
1, 17, 38, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 17 x 38 x 9 = 15348960
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 880,561,608,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,561,608,540) = 1
common factors(in case of two or more numbers have common factors) = 10560
GCF(880,561,608,540) x common factors =1 x 10560 = 10560
LCM(880,561,608,540) = ( 880 × 561 × 608 × 540 ) / 10560
LCM(880,561,608,540) = 162085017600 / 10560
LCM(880,561,608,540) = 15348960
∴ Least Common Multiple of 880,561,608,540 is 15348960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 561, 608, 540?
Answer: LCM of 880, 561, 608, 540 is 15348960.
2. What are the Factors of 15348960?
Answer: Factors of 15348960 are . There are integers that are factors of 15348960
3. How to Find the LCM of 880, 561, 608, 540 ?
Least Common Multiple of 880, 561, 608, 540.
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(880, 561, 608, 540) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 17 x 19 = 15348960.