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 972, 243, 939 i.e. 304236 smallest integer divisible by all numbers.
Least common multiple (LCM) of 972, 243, 939 is 304236.
LCM(972, 243, 939) = 304236
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 972, 243, 939 |
3 | 324, 81, 313 |
3 | 108, 27, 313 |
3 | 36, 9, 313 |
3 | 12, 3, 313 |
4, 1, 313 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 3 x 4 x 1 x 313 = 304236
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 972,243,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,243,939) = 3
common factors(in case of two or more numbers have common factors) = 243
GCF(972,243,939) x common factors =3 x 243 = 729
LCM(972,243,939) = ( 972 × 243 × 939 ) / 729
LCM(972,243,939) = 221788044 / 729
LCM(972,243,939) = 304236
∴ Least Common Multiple of 972,243,939 is 304236
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 243, 939?
Answer: LCM of 972, 243, 939 is 304236.
2. What are the Factors of 304236?
Answer: Factors of 304236 are . There are integers that are factors of 304236
3. How to Find the LCM of 972, 243, 939 ?
Least Common Multiple of 972, 243, 939.
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(972, 243, 939) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 313 = 304236.