Least Common Multiple of 45, 45, 18
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, 45, 18 i.e. 90 smallest integer divisible by all numbers.
Least common multiple (LCM) of 45, 45, 18 is 90.
LCM(45, 45, 18) = 90
LCM of 45, 45, 18
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 45, 45, 18 by common division method
- Least Common Multiple of 45, 45, 18 with GCF Formula
Least Common Multiple (LCM) of 45,45,18 is 90
| 3 | 45, 45, 18 |
| 3 | 15, 15, 6 |
| 5 | 5, 5, 2 |
| 1, 1, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 2 = 90
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 45,45,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,45,18) = 9
common factors(in case of two or more numbers have common factors) = 45
GCF(45,45,18) x common factors =9 x 45 = 405
LCM(45,45,18) = ( 45 × 45 × 18 ) / 405
LCM(45,45,18) = 36450 / 405
LCM(45,45,18) = 90
∴ Least Common Multiple of 45,45,18 is 90
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 45, 45, 18
1. What is the LCM of 45, 45, 18?
Answer: LCM of 45, 45, 18 is 90.
2. What are the Factors of 90?
Answer: Factors of 90 are . There are integers that are factors of 90
3. How to Find the LCM of 45, 45, 18 ?
Least Common Multiple of 45, 45, 18.
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, 45, 18) = 2 x 3 x 3 x 5 = 90.