Least Common Multiple of 60, 54, 918
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 60, 54, 918 i.e. 9180 smallest integer divisible by all numbers.
Least common multiple (LCM) of 60, 54, 918 is 9180.
LCM(60, 54, 918) = 9180
LCM of 60, 54, 918
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 60, 54, 918 by common division method
- Least Common Multiple of 60, 54, 918 with GCF Formula
Least Common Multiple (LCM) of 60,54,918 is 9180
| 2 | 60, 54, 918 |
| 3 | 30, 27, 459 |
| 3 | 10, 9, 153 |
| 3 | 10, 3, 51 |
| 10, 1, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 10 x 1 x 17 = 9180
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 60,54,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,54,918) = 6
common factors(in case of two or more numbers have common factors) = 54
GCF(60,54,918) x common factors =6 x 54 = 324
LCM(60,54,918) = ( 60 × 54 × 918 ) / 324
LCM(60,54,918) = 2974320 / 324
LCM(60,54,918) = 9180
∴ Least Common Multiple of 60,54,918 is 9180
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 60, 54, 918
1. What is the LCM of 60, 54, 918?
Answer: LCM of 60, 54, 918 is 9180.
2. What are the Factors of 9180?
Answer: Factors of 9180 are . There are integers that are factors of 9180
3. How to Find the LCM of 60, 54, 918 ?
Least Common Multiple of 60, 54, 918.
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(60, 54, 918) = 2 x 2 x 3 x 3 x 3 x 5 x 17 = 9180.