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 299, 920, 675, 480, 390 i.e. 6458400 smallest integer divisible by all numbers.
Least common multiple (LCM) of 299, 920, 675, 480, 390 is 6458400.
LCM(299, 920, 675, 480, 390) = 6458400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 299, 920, 675, 480, 390 |
2 | 299, 460, 675, 240, 195 |
2 | 299, 230, 675, 120, 195 |
3 | 299, 115, 675, 60, 195 |
5 | 299, 115, 225, 20, 65 |
13 | 299, 23, 45, 4, 13 |
23 | 23, 23, 45, 4, 1 |
1, 1, 45, 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 13 x 23 x 1 x 1 x 45 x 4 x 1 = 6458400
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 299,920,675,480,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,920,675,480,390) = 1
common factors(in case of two or more numbers have common factors) = 5382000
GCF(299,920,675,480,390) x common factors =1 x 5382000 = 5382000
LCM(299,920,675,480,390) = ( 299 × 920 × 675 × 480 × 390 ) / 5382000
LCM(299,920,675,480,390) = 34759108800000 / 5382000
LCM(299,920,675,480,390) = 6458400
∴ Least Common Multiple of 299,920,675,480,390 is 6458400
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 920, 675, 480, 390?
Answer: LCM of 299, 920, 675, 480, 390 is 6458400.
2. What are the Factors of 6458400?
Answer: Factors of 6458400 are . There are integers that are factors of 6458400
3. How to Find the LCM of 299, 920, 675, 480, 390 ?
Least Common Multiple of 299, 920, 675, 480, 390.
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(299, 920, 675, 480, 390) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 23 = 6458400.