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 309, 756, 108 i.e. 77868 smallest integer divisible by all numbers.
Least common multiple (LCM) of 309, 756, 108 is 77868.
LCM(309, 756, 108) = 77868
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 309, 756, 108 |
2 | 309, 378, 54 |
3 | 309, 189, 27 |
3 | 103, 63, 9 |
3 | 103, 21, 3 |
103, 7, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 103 x 7 x 1 = 77868
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 309,756,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,756,108) = 3
common factors(in case of two or more numbers have common factors) = 108
GCF(309,756,108) x common factors =3 x 108 = 324
LCM(309,756,108) = ( 309 × 756 × 108 ) / 324
LCM(309,756,108) = 25229232 / 324
LCM(309,756,108) = 77868
∴ Least Common Multiple of 309,756,108 is 77868
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 756, 108?
Answer: LCM of 309, 756, 108 is 77868.
2. What are the Factors of 77868?
Answer: Factors of 77868 are . There are integers that are factors of 77868
3. How to Find the LCM of 309, 756, 108 ?
Least Common Multiple of 309, 756, 108.
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(309, 756, 108) = 2 x 2 x 3 x 3 x 3 x 7 x 103 = 77868.