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 570, 660, 724 i.e. 2269740 smallest integer divisible by all numbers.
Least common multiple (LCM) of 570, 660, 724 is 2269740.
LCM(570, 660, 724) = 2269740
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 570, 660, 724 |
2 | 285, 330, 362 |
3 | 285, 165, 181 |
5 | 95, 55, 181 |
19, 11, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 11 x 181 = 2269740
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 570,660,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,660,724) = 2
common factors(in case of two or more numbers have common factors) = 60
GCF(570,660,724) x common factors =2 x 60 = 120
LCM(570,660,724) = ( 570 × 660 × 724 ) / 120
LCM(570,660,724) = 272368800 / 120
LCM(570,660,724) = 2269740
∴ Least Common Multiple of 570,660,724 is 2269740
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 570, 660, 724?
Answer: LCM of 570, 660, 724 is 2269740.
2. What are the Factors of 2269740?
Answer: Factors of 2269740 are . There are integers that are factors of 2269740
3. How to Find the LCM of 570, 660, 724 ?
Least Common Multiple of 570, 660, 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(570, 660, 724) = 2 x 2 x 3 x 5 x 11 x 19 x 181 = 2269740.