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, 324, 760 i.e. 61560 smallest integer divisible by all numbers.
Least common multiple (LCM) of 570, 324, 760 is 61560.
LCM(570, 324, 760) = 61560
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 570, 324, 760 |
2 | 285, 162, 380 |
3 | 285, 81, 190 |
5 | 95, 27, 190 |
19 | 19, 27, 38 |
1, 27, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 1 x 27 x 2 = 61560
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 570,324,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,324,760) = 2
common factors(in case of two or more numbers have common factors) = 1140
GCF(570,324,760) x common factors =2 x 1140 = 2280
LCM(570,324,760) = ( 570 × 324 × 760 ) / 2280
LCM(570,324,760) = 140356800 / 2280
LCM(570,324,760) = 61560
∴ Least Common Multiple of 570,324,760 is 61560
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 570, 324, 760?
Answer: LCM of 570, 324, 760 is 61560.
2. What are the Factors of 61560?
Answer: Factors of 61560 are . There are integers that are factors of 61560
3. How to Find the LCM of 570, 324, 760 ?
Least Common Multiple of 570, 324, 760.
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, 324, 760) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 19 = 61560.