Least Common Multiple of 130/403, 5942/5688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/403, 5942/5688 quickly i.e. 386230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/403, 5942/5688 is 386230.

LCM(130/403, 5942/5688) = 386230

LCM of 130/403, 5942/5688

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 130/403,5942/5688

Given numbers are 130/403,5942/5688

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 130,5942

Least Common Multiple of Numerators i.e. LCM of 130,5942 is 386230.

GCF of Denominators means GCF of 403,5688 as per the given fractions.

GCF of 403,5688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,5942

LCM of Fractions 130/403,5942/5688 is 386230

2 130, 5942
65, 2971

∴ So the LCM of the given numbers is 2 x 65 x 2971 = 386230

Least Common Multiple of 130,5942 with GCF Formula

Least Common Multiple of 130,5942 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 130,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,5942) = 2

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

GCF(130,5942) x common factors =2 x 1 = 2

LCM(130,5942) = ( 130 × 5942 ) / 2

LCM(130,5942) = 772460 / 2

LCM(130,5942) = 386230


Lets's calculate GCF of 403,5688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386230/1

Therefore the LCM of Fractions 130/403,5942/5688 is 386230

Greatest Common Factor of 403,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,5688 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 403,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 403,5688 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 130/403, 5942/5688

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 130/403, 5942/5688?

Answer: LCM of Numerators as per given numbers 130/403, 5942/5688 is

LCM of Numerators i.e. for 130,5942 is 386230

GCF of denominators i.e. for 403,5688 is 1.

Thus, LCM of Fractions is 386230.Finally, LCM of Fractions for 130/403, 5942/5688 is 386230.