Least Common Multiple of 45, 18, 428
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, 18, 428 i.e. 19260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 45, 18, 428 is 19260.
LCM(45, 18, 428) = 19260
LCM of 45, 18, 428
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 45, 18, 428 by common division method
- Least Common Multiple of 45, 18, 428 with GCF Formula
Least Common Multiple (LCM) of 45,18,428 is 19260
| 2 | 45, 18, 428 |
| 3 | 45, 9, 214 |
| 3 | 15, 3, 214 |
| 5, 1, 214 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 214 = 19260
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 45,18,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,18,428) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(45,18,428) x common factors =1 x 18 = 18
LCM(45,18,428) = ( 45 × 18 × 428 ) / 18
LCM(45,18,428) = 346680 / 18
LCM(45,18,428) = 19260
∴ Least Common Multiple of 45,18,428 is 19260
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, 18, 428
1. What is the LCM of 45, 18, 428?
Answer: LCM of 45, 18, 428 is 19260.
2. What are the Factors of 19260?
Answer: Factors of 19260 are . There are integers that are factors of 19260
3. How to Find the LCM of 45, 18, 428 ?
Least Common Multiple of 45, 18, 428.
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, 18, 428) = 2 x 2 x 3 x 3 x 5 x 107 = 19260.