Least Common Multiple of 45, 75, 225
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 45, 75, 225 i.e. 225 smallest integer divisible by all numbers.
Least common multiple (LCM) of 45, 75, 225 is 225.
LCM(45, 75, 225) = 225
LCM of 45, 75, 225
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 45, 75, 225 by common division method
- Least Common Multiple of 45, 75, 225 with GCF Formula
Least Common Multiple (LCM) of 45,75,225 is 225
| 3 | 45, 75, 225 |
| 3 | 15, 25, 75 |
| 5 | 5, 25, 25 |
| 5 | 1, 5, 5 |
| 1, 1, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 1 x 1 x 1 = 225
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 45,75,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,75,225) = 15
common factors(in case of two or more numbers have common factors) = 225
GCF(45,75,225) x common factors =15 x 225 = 3375
LCM(45,75,225) = ( 45 × 75 × 225 ) / 3375
LCM(45,75,225) = 759375 / 3375
LCM(45,75,225) = 225
∴ Least Common Multiple of 45,75,225 is 225
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 45, 75, 225
1. What is the LCM of 45, 75, 225?
Answer: LCM of 45, 75, 225 is 225.
2. What are the Factors of 225?
Answer: Factors of 225 are . There are integers that are factors of 225
3. How to Find the LCM of 45, 75, 225 ?
Least Common Multiple of 45, 75, 225.
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(45, 75, 225) = 3 x 3 x 5 x 5 = 225.