Least Common Multiple of 225, 2700
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 225, 2700 i.e. 2700 smallest integer divisible by all numbers.
Least common multiple (LCM) of 225, 2700 is 2700.
LCM(225, 2700) = 2700
LCM of 225, 2700
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 225, 2700 by common division method
- Least Common Multiple of 225, 2700 with GCF Formula
Least Common Multiple (LCM) of 225,2700 is 2700
| 3 | 225, 2700 |
| 3 | 75, 900 |
| 5 | 25, 300 |
| 5 | 5, 60 |
| 1, 12 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 1 x 12 = 2700
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 225,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,2700) = 225
common factors(in case of two or more numbers have common factors) = 1
GCF(225,2700) x common factors =225 x 1 = 225
LCM(225,2700) = ( 225 × 2700 ) / 225
LCM(225,2700) = 607500 / 225
LCM(225,2700) = 2700
∴ Least Common Multiple of 225,2700 is 2700
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 225, 2700
1. What is the LCM of 225, 2700?
Answer: LCM of 225, 2700 is 2700.
2. What are the Factors of 2700?
Answer: Factors of 2700 are . There are integers that are factors of 2700
3. How to Find the LCM of 225, 2700 ?
Least Common Multiple of 225, 2700.
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(225, 2700) = 2 x 2 x 3 x 3 x 3 x 5 x 5 = 2700.