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 800, 700, 600, 724 i.e. 3040800 smallest integer divisible by all numbers.
Least common multiple (LCM) of 800, 700, 600, 724 is 3040800.
LCM(800, 700, 600, 724) = 3040800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 800, 700, 600, 724 |
2 | 400, 350, 300, 362 |
2 | 200, 175, 150, 181 |
5 | 100, 175, 75, 181 |
5 | 20, 35, 15, 181 |
4, 7, 3, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 4 x 7 x 3 x 181 = 3040800
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 800,700,600,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,700,600,724) = 4
common factors(in case of two or more numbers have common factors) = 20000
GCF(800,700,600,724) x common factors =4 x 20000 = 80000
LCM(800,700,600,724) = ( 800 × 700 × 600 × 724 ) / 80000
LCM(800,700,600,724) = 243264000000 / 80000
LCM(800,700,600,724) = 3040800
∴ Least Common Multiple of 800,700,600,724 is 3040800
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 800, 700, 600, 724?
Answer: LCM of 800, 700, 600, 724 is 3040800.
2. What are the Factors of 3040800?
Answer: Factors of 3040800 are . There are integers that are factors of 3040800
3. How to Find the LCM of 800, 700, 600, 724 ?
Least Common Multiple of 800, 700, 600, 724.
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(800, 700, 600, 724) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 181 = 3040800.