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, 90, 25, 968 i.e. 217800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 20, 90, 25, 968 is 217800.
LCM(20, 90, 25, 968) = 217800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 20, 90, 25, 968 |
2 | 10, 45, 25, 484 |
5 | 5, 45, 25, 242 |
1, 9, 5, 242 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 9 x 5 x 242 = 217800
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 20,90,25,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,90,25,968) = 1
common factors(in case of two or more numbers have common factors) = 200
GCF(20,90,25,968) x common factors =1 x 200 = 200
LCM(20,90,25,968) = ( 20 × 90 × 25 × 968 ) / 200
LCM(20,90,25,968) = 43560000 / 200
LCM(20,90,25,968) = 217800
∴ Least Common Multiple of 20,90,25,968 is 217800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 20, 90, 25, 968?
Answer: LCM of 20, 90, 25, 968 is 217800.
2. What are the Factors of 217800?
Answer: Factors of 217800 are . There are integers that are factors of 217800
3. How to Find the LCM of 20, 90, 25, 968 ?
Least Common Multiple of 20, 90, 25, 968.
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, 90, 25, 968) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 11 = 217800.