Least Common Multiple of 54, 81, 957
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 54, 81, 957 i.e. 51678 smallest integer divisible by all numbers.
Least common multiple (LCM) of 54, 81, 957 is 51678.
LCM(54, 81, 957) = 51678
LCM of 54, 81, 957
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 54, 81, 957 by common division method
- Least Common Multiple of 54, 81, 957 with GCF Formula
Least Common Multiple (LCM) of 54,81,957 is 51678
| 3 | 54, 81, 957 |
| 3 | 18, 27, 319 |
| 3 | 6, 9, 319 |
| 2, 3, 319 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 3 x 319 = 51678
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 54,81,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,81,957) = 3
common factors(in case of two or more numbers have common factors) = 27
GCF(54,81,957) x common factors =3 x 27 = 81
LCM(54,81,957) = ( 54 × 81 × 957 ) / 81
LCM(54,81,957) = 4185918 / 81
LCM(54,81,957) = 51678
∴ Least Common Multiple of 54,81,957 is 51678
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 54, 81, 957
1. What is the LCM of 54, 81, 957?
Answer: LCM of 54, 81, 957 is 51678.
2. What are the Factors of 51678?
Answer: Factors of 51678 are . There are integers that are factors of 51678
3. How to Find the LCM of 54, 81, 957 ?
Least Common Multiple of 54, 81, 957.
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(54, 81, 957) = 2 x 3 x 3 x 3 x 3 x 11 x 29 = 51678.