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 584, 476, 462, 730, 574 i.e. 470140440 smallest integer divisible by all numbers.
Least common multiple (LCM) of 584, 476, 462, 730, 574 is 470140440.
LCM(584, 476, 462, 730, 574) = 470140440
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 584, 476, 462, 730, 574 |
2 | 292, 238, 231, 365, 287 |
7 | 146, 119, 231, 365, 287 |
73 | 146, 17, 33, 365, 41 |
2, 17, 33, 5, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 73 x 2 x 17 x 33 x 5 x 41 = 470140440
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 584,476,462,730,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,476,462,730,574) = 2
common factors(in case of two or more numbers have common factors) = 57232
GCF(584,476,462,730,574) x common factors =2 x 57232 = 114464
LCM(584,476,462,730,574) = ( 584 × 476 × 462 × 730 × 574 ) / 114464
LCM(584,476,462,730,574) = 53814155324160 / 114464
LCM(584,476,462,730,574) = 470140440
∴ Least Common Multiple of 584,476,462,730,574 is 470140440
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 476, 462, 730, 574?
Answer: LCM of 584, 476, 462, 730, 574 is 470140440.
2. What are the Factors of 470140440?
Answer: Factors of 470140440 are . There are integers that are factors of 470140440
3. How to Find the LCM of 584, 476, 462, 730, 574 ?
Least Common Multiple of 584, 476, 462, 730, 574.
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(584, 476, 462, 730, 574) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17 x 41 x 73 = 470140440.