Least Common Multiple of 27, 54, 12
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 27, 54, 12 i.e. 108 smallest integer divisible by all numbers.
Least common multiple (LCM) of 27, 54, 12 is 108.
LCM(27, 54, 12) = 108
LCM of 27, 54, 12
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 27, 54, 12 by common division method
- Least Common Multiple of 27, 54, 12 with GCF Formula
Least Common Multiple (LCM) of 27,54,12 is 108
| 2 | 27, 54, 12 |
| 3 | 27, 27, 6 |
| 3 | 9, 9, 2 |
| 3 | 3, 3, 2 |
| 1, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 1 x 2 = 108
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 27,54,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,54,12) = 3
common factors(in case of two or more numbers have common factors) = 54
GCF(27,54,12) x common factors =3 x 54 = 162
LCM(27,54,12) = ( 27 × 54 × 12 ) / 162
LCM(27,54,12) = 17496 / 162
LCM(27,54,12) = 108
∴ Least Common Multiple of 27,54,12 is 108
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 27, 54, 12
1. What is the LCM of 27, 54, 12?
Answer: LCM of 27, 54, 12 is 108.
2. What are the Factors of 108?
Answer: Factors of 108 are . There are integers that are factors of 108
3. How to Find the LCM of 27, 54, 12 ?
Least Common Multiple of 27, 54, 12.
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(27, 54, 12) = 2 x 2 x 3 x 3 x 3 = 108.