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, 500, 975 i.e. 19500 smallest integer divisible by all numbers.
Least common multiple (LCM) of 20, 500, 975 is 19500.
LCM(20, 500, 975) = 19500
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 20, 500, 975 |
2 | 10, 250, 975 |
5 | 5, 125, 975 |
5 | 1, 25, 195 |
1, 5, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 5 x 39 = 19500
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 20,500,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,500,975) = 5
common factors(in case of two or more numbers have common factors) = 100
GCF(20,500,975) x common factors =5 x 100 = 500
LCM(20,500,975) = ( 20 × 500 × 975 ) / 500
LCM(20,500,975) = 9750000 / 500
LCM(20,500,975) = 19500
∴ Least Common Multiple of 20,500,975 is 19500
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 20, 500, 975?
Answer: LCM of 20, 500, 975 is 19500.
2. What are the Factors of 19500?
Answer: Factors of 19500 are . There are integers that are factors of 19500
3. How to Find the LCM of 20, 500, 975 ?
Least Common Multiple of 20, 500, 975.
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, 500, 975) = 2 x 2 x 3 x 5 x 5 x 5 x 13 = 19500.