Least Common Multiple of 54, 90, 135
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, 90, 135 i.e. 270 smallest integer divisible by all numbers.
Least common multiple (LCM) of 54, 90, 135 is 270.
LCM(54, 90, 135) = 270
LCM of 54, 90, 135
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 54, 90, 135 by common division method
- Least Common Multiple of 54, 90, 135 with GCF Formula
Least Common Multiple (LCM) of 54,90,135 is 270
| 2 | 54, 90, 135 |
| 3 | 27, 45, 135 |
| 3 | 9, 15, 45 |
| 3 | 3, 5, 15 |
| 5 | 1, 5, 5 |
| 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 1 x 1 x 1 = 270
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 54,90,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,90,135) = 9
common factors(in case of two or more numbers have common factors) = 270
GCF(54,90,135) x common factors =9 x 270 = 2430
LCM(54,90,135) = ( 54 × 90 × 135 ) / 2430
LCM(54,90,135) = 656100 / 2430
LCM(54,90,135) = 270
∴ Least Common Multiple of 54,90,135 is 270
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 54, 90, 135
1. What is the LCM of 54, 90, 135?
Answer: LCM of 54, 90, 135 is 270.
2. What are the Factors of 270?
Answer: Factors of 270 are . There are integers that are factors of 270
3. How to Find the LCM of 54, 90, 135 ?
Least Common Multiple of 54, 90, 135.
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, 90, 135) = 2 x 3 x 3 x 3 x 5 = 270.