Least Common Multiple of 81, 90, 60
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 81, 90, 60 i.e. 1620 smallest integer divisible by all numbers.
Least common multiple (LCM) of 81, 90, 60 is 1620.
LCM(81, 90, 60) = 1620
LCM of 81, 90, 60
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 81, 90, 60 by common division method
- Least Common Multiple of 81, 90, 60 with GCF Formula
Least Common Multiple (LCM) of 81,90,60 is 1620
| 2 | 81, 90, 60 |
| 3 | 81, 45, 30 |
| 3 | 27, 15, 10 |
| 5 | 9, 5, 10 |
| 9, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 9 x 1 x 2 = 1620
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 81,90,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,90,60) = 3
common factors(in case of two or more numbers have common factors) = 90
GCF(81,90,60) x common factors =3 x 90 = 270
LCM(81,90,60) = ( 81 × 90 × 60 ) / 270
LCM(81,90,60) = 437400 / 270
LCM(81,90,60) = 1620
∴ Least Common Multiple of 81,90,60 is 1620
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 81, 90, 60
1. What is the LCM of 81, 90, 60?
Answer: LCM of 81, 90, 60 is 1620.
2. What are the Factors of 1620?
Answer: Factors of 1620 are . There are integers that are factors of 1620
3. How to Find the LCM of 81, 90, 60 ?
Least Common Multiple of 81, 90, 60.
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(81, 90, 60) = 2 x 2 x 3 x 3 x 3 x 3 x 5 = 1620.