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 567, 324, 441 i.e. 15876 smallest integer divisible by all numbers.
Least common multiple (LCM) of 567, 324, 441 is 15876.
LCM(567, 324, 441) = 15876
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 567, 324, 441 |
3 | 189, 108, 147 |
3 | 63, 36, 49 |
3 | 21, 12, 49 |
7 | 7, 4, 49 |
1, 4, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 7 x 1 x 4 x 7 = 15876
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 567,324,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,324,441) = 9
common factors(in case of two or more numbers have common factors) = 567
GCF(567,324,441) x common factors =9 x 567 = 5103
LCM(567,324,441) = ( 567 × 324 × 441 ) / 5103
LCM(567,324,441) = 81015228 / 5103
LCM(567,324,441) = 15876
∴ Least Common Multiple of 567,324,441 is 15876
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 324, 441?
Answer: LCM of 567, 324, 441 is 15876.
2. What are the Factors of 15876?
Answer: Factors of 15876 are . There are integers that are factors of 15876
3. How to Find the LCM of 567, 324, 441 ?
Least Common Multiple of 567, 324, 441.
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(567, 324, 441) = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 7 = 15876.