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 209, 600, 120 i.e. 125400 smallest integer divisible by all numbers.
Least common multiple (LCM) of 209, 600, 120 is 125400.
LCM(209, 600, 120) = 125400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 209, 600, 120 |
2 | 209, 300, 60 |
2 | 209, 150, 30 |
3 | 209, 75, 15 |
5 | 209, 25, 5 |
209, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 209 x 1 x 5 = 125400
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 209,600,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,600,120) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(209,600,120) x common factors =1 x 120 = 120
LCM(209,600,120) = ( 209 × 600 × 120 ) / 120
LCM(209,600,120) = 15048000 / 120
LCM(209,600,120) = 125400
∴ Least Common Multiple of 209,600,120 is 125400
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 600, 120?
Answer: LCM of 209, 600, 120 is 125400.
2. What are the Factors of 125400?
Answer: Factors of 125400 are . There are integers that are factors of 125400
3. How to Find the LCM of 209, 600, 120 ?
Least Common Multiple of 209, 600, 120.
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(209, 600, 120) = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 19 = 125400.