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 561, 330, 544 i.e. 89760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 561, 330, 544 is 89760.
LCM(561, 330, 544) = 89760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 561, 330, 544 |
3 | 561, 165, 272 |
11 | 187, 55, 272 |
17 | 17, 5, 272 |
1, 5, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 17 x 1 x 5 x 16 = 89760
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 561,330,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,330,544) = 1
common factors(in case of two or more numbers have common factors) = 1122
GCF(561,330,544) x common factors =1 x 1122 = 1122
LCM(561,330,544) = ( 561 × 330 × 544 ) / 1122
LCM(561,330,544) = 100710720 / 1122
LCM(561,330,544) = 89760
∴ Least Common Multiple of 561,330,544 is 89760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 330, 544?
Answer: LCM of 561, 330, 544 is 89760.
2. What are the Factors of 89760?
Answer: Factors of 89760 are . There are integers that are factors of 89760
3. How to Find the LCM of 561, 330, 544 ?
Least Common Multiple of 561, 330, 544.
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(561, 330, 544) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 17 = 89760.