Least Common Multiple of 5989/543, 9841/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5989/543, 9841/130 quickly i.e. 58937749 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5989/543, 9841/130 is 58937749.

LCM(5989/543, 9841/130) = 58937749

LCM of 5989/543, 9841/130

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 5989/543,9841/130

Given numbers are 5989/543,9841/130

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 5989,9841

Least Common Multiple of Numerators i.e. LCM of 5989,9841 is 58937749.

GCF of Denominators means GCF of 543,130 as per the given fractions.

GCF of 543,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5989,9841

LCM of Fractions 5989/543,9841/130 is 58937749

Given numbers has no common factors except 1. So, there LCM is their product i.e 58937749

Least Common Multiple of 5989,9841 with GCF Formula

Least Common Multiple of 5989,9841 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 5989,9841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5989,9841) = 1

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

GCF(5989,9841) x common factors =1 x 1 = 1

LCM(5989,9841) = ( 5989 × 9841 ) / 1

LCM(5989,9841) = 58937749 / 1

LCM(5989,9841) = 58937749


Lets's calculate GCF of 543,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58937749/1

Therefore the LCM of Fractions 5989/543,9841/130 is 58937749

Greatest Common Factor of 543,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,130 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 543,130 . The biggest common factor number is the GCF number.
So the greatest common factor 543,130 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5989/543, 9841/130

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 5989/543, 9841/130?

Answer: LCM of Numerators as per given numbers 5989/543, 9841/130 is

LCM of Numerators i.e. for 5989,9841 is 58937749

GCF of denominators i.e. for 543,130 is 1.

Thus, LCM of Fractions is 58937749.Finally, LCM of Fractions for 5989/543, 9841/130 is 58937749.