Least Common Multiple of 585/53, 5183/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/53, 5183/138 quickly i.e. 3032055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/53, 5183/138 is 3032055.

LCM(585/53, 5183/138) = 3032055

LCM of 585/53, 5183/138

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 585/53,5183/138

Given numbers are 585/53,5183/138

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 585,5183

Least Common Multiple of Numerators i.e. LCM of 585,5183 is 3032055.

GCF of Denominators means GCF of 53,138 as per the given fractions.

GCF of 53,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,5183

LCM of Fractions 585/53,5183/138 is 3032055

Given numbers has no common factors except 1. So, there LCM is their product i.e 3032055

Least Common Multiple of 585,5183 with GCF Formula

Least Common Multiple of 585,5183 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 585,5183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,5183) = 1

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

GCF(585,5183) x common factors =1 x 1 = 1

LCM(585,5183) = ( 585 × 5183 ) / 1

LCM(585,5183) = 3032055 / 1

LCM(585,5183) = 3032055


Lets's calculate GCF of 53,138

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3032055/1

Therefore the LCM of Fractions 585/53,5183/138 is 3032055

Greatest Common Factor of 53,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,138 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 53,138 . The biggest common factor number is the GCF number.
So the greatest common factor 53,138 is 1.


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 585/53, 5183/138

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 585/53, 5183/138?

Answer: LCM of Numerators as per given numbers 585/53, 5183/138 is

LCM of Numerators i.e. for 585,5183 is 3032055

GCF of denominators i.e. for 53,138 is 1.

Thus, LCM of Fractions is 3032055.Finally, LCM of Fractions for 585/53, 5183/138 is 3032055.