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 579, 501, 870, 812 i.e. 392573580 smallest integer divisible by all numbers.
Least common multiple (LCM) of 579, 501, 870, 812 is 392573580.
LCM(579, 501, 870, 812) = 392573580
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 579, 501, 870, 812 |
3 | 579, 501, 435, 406 |
29 | 193, 167, 145, 406 |
193, 167, 5, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 193 x 167 x 5 x 14 = 392573580
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 579,501,870,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,501,870,812) = 1
common factors(in case of two or more numbers have common factors) = 522
GCF(579,501,870,812) x common factors =1 x 522 = 522
LCM(579,501,870,812) = ( 579 × 501 × 870 × 812 ) / 522
LCM(579,501,870,812) = 204923408760 / 522
LCM(579,501,870,812) = 392573580
∴ Least Common Multiple of 579,501,870,812 is 392573580
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 579, 501, 870, 812?
Answer: LCM of 579, 501, 870, 812 is 392573580.
2. What are the Factors of 392573580?
Answer: Factors of 392573580 are . There are integers that are factors of 392573580
3. How to Find the LCM of 579, 501, 870, 812 ?
Least Common Multiple of 579, 501, 870, 812.
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(579, 501, 870, 812) = 2 x 2 x 3 x 5 x 7 x 29 x 167 x 193 = 392573580.