Least Common Multiple of 5237/494, 5765/6588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5237/494, 5765/6588 quickly i.e. 30191305/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5237/494, 5765/6588 is 30191305/2.

LCM(5237/494, 5765/6588) = 30191305/2

LCM of 5237/494, 5765/6588

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 5237/494,5765/6588

Given numbers are 5237/494,5765/6588

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 5237,5765

Least Common Multiple of Numerators i.e. LCM of 5237,5765 is 30191305.

GCF of Denominators means GCF of 494,6588 as per the given fractions.

GCF of 494,6588 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5237,5765

LCM of Fractions 5237/494,5765/6588 is 30191305/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 30191305

Least Common Multiple of 5237,5765 with GCF Formula

Least Common Multiple of 5237,5765 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 5237,5765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5237,5765) = 1

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

GCF(5237,5765) x common factors =1 x 1 = 1

LCM(5237,5765) = ( 5237 × 5765 ) / 1

LCM(5237,5765) = 30191305 / 1

LCM(5237,5765) = 30191305


Lets's calculate GCF of 494,6588

2 494, 6588
247, 3294

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30191305/2

Therefore the LCM of Fractions 5237/494,5765/6588 is 30191305/2

Greatest Common Factor of 494,6588 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,6588 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 6588

List of positive integer factors of 6588 that divides 6588 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,61,108,122,183,244,366,549,732,1098,1647,2196,3294,6588

Greatest Common Factor

We found the factors 494,6588 . The biggest common factor number is the GCF number.
So the greatest common factor 494,6588 is 2.


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 5237/494, 5765/6588

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 5237/494, 5765/6588?

Answer: LCM of Numerators as per given numbers 5237/494, 5765/6588 is

LCM of Numerators i.e. for 5237,5765 is 30191305

GCF of denominators i.e. for 494,6588 is 2.

Thus, LCM of Fractions is 30191305/2.Finally, LCM of Fractions for 5237/494, 5765/6588 is 30191305/2.