Least Common Multiple of 20, 50, 100
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 20, 50, 100 i.e. 100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 20, 50, 100 is 100.
LCM(20, 50, 100) = 100
LCM of 20, 50, 100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 20, 50, 100 by common division method
- Least Common Multiple of 20, 50, 100 with GCF Formula
Least Common Multiple (LCM) of 20,50,100 is 100
| 2 | 20, 50, 100 |
| 2 | 10, 25, 50 |
| 5 | 5, 25, 25 |
| 5 | 1, 5, 5 |
| 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 1 x 1 = 100
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 20,50,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,50,100) = 10
common factors(in case of two or more numbers have common factors) = 100
GCF(20,50,100) x common factors =10 x 100 = 1000
LCM(20,50,100) = ( 20 × 50 × 100 ) / 1000
LCM(20,50,100) = 100000 / 1000
LCM(20,50,100) = 100
∴ Least Common Multiple of 20,50,100 is 100
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 20, 50, 100
1. What is the LCM of 20, 50, 100?
Answer: LCM of 20, 50, 100 is 100.
2. What are the Factors of 100?
Answer: Factors of 100 are . There are integers that are factors of 100
3. How to Find the LCM of 20, 50, 100 ?
Least Common Multiple of 20, 50, 100.
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(20, 50, 100) = 2 x 2 x 5 x 5 = 100.
