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 600, 400, 300, 235 i.e. 56400 smallest integer divisible by all numbers.
Least common multiple (LCM) of 600, 400, 300, 235 is 56400.
LCM(600, 400, 300, 235) = 56400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 600, 400, 300, 235 |
2 | 300, 200, 150, 235 |
2 | 75, 100, 150, 235 |
3 | 75, 50, 75, 235 |
5 | 25, 50, 25, 235 |
5 | 5, 10, 5, 47 |
1, 2, 1, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 1 x 2 x 1 x 47 = 56400
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 600,400,300,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,400,300,235) = 5
common factors(in case of two or more numbers have common factors) = 60000
GCF(600,400,300,235) x common factors =5 x 60000 = 300000
LCM(600,400,300,235) = ( 600 × 400 × 300 × 235 ) / 300000
LCM(600,400,300,235) = 16920000000 / 300000
LCM(600,400,300,235) = 56400
∴ Least Common Multiple of 600,400,300,235 is 56400
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 400, 300, 235?
Answer: LCM of 600, 400, 300, 235 is 56400.
2. What are the Factors of 56400?
Answer: Factors of 56400 are . There are integers that are factors of 56400
3. How to Find the LCM of 600, 400, 300, 235 ?
Least Common Multiple of 600, 400, 300, 235.
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(600, 400, 300, 235) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 47 = 56400.