Least Common Multiple of 6579/315, 4200/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6579/315, 4200/582 quickly i.e. 3070200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6579/315, 4200/582 is 3070200.

LCM(6579/315, 4200/582) = 3070200

LCM of 6579/315, 4200/582

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6579/315,4200/582

Given numbers are 6579/315,4200/582

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6579,4200

Least Common Multiple of Numerators i.e. LCM of 6579,4200 is 9210600.

GCF of Denominators means GCF of 315,582 as per the given fractions.

GCF of 315,582 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6579,4200

LCM of Fractions 6579/315,4200/582 is 3070200

3 6579, 4200
2193, 1400

∴ So the LCM of the given numbers is 3 x 2193 x 1400 = 9210600

Least Common Multiple of 6579,4200 with GCF Formula

Least Common Multiple of 6579,4200 with GCF Formula

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 6579,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6579,4200) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(6579,4200) x common factors =3 x 1 = 3

LCM(6579,4200) = ( 6579 × 4200 ) / 3

LCM(6579,4200) = 27631800 / 3

LCM(6579,4200) = 9210600


Lets's calculate GCF of 315,582

3 315, 582
105, 194

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9210600/3

Therefore the LCM of Fractions 6579/315,4200/582 is 3070200

Greatest Common Factor of 315,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,582 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 315,582 . The biggest common factor number is the GCF number.
So the greatest common factor 315,582 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6579/315, 4200/582

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6579/315, 4200/582?

Answer: LCM of Numerators as per given numbers 6579/315, 4200/582 is

LCM of Numerators i.e. for 6579,4200 is 9210600

GCF of denominators i.e. for 315,582 is 3.

Thus, LCM of Fractions is 3070200.Finally, LCM of Fractions for 6579/315, 4200/582 is 3070200.