Least Common Multiple of 29/537, 6141/5900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/537, 6141/5900 quickly i.e. 178089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/537, 6141/5900 is 178089.

LCM(29/537, 6141/5900) = 178089

LCM of 29/537, 6141/5900

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 29/537,6141/5900

Given numbers are 29/537,6141/5900

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 29,6141

Least Common Multiple of Numerators i.e. LCM of 29,6141 is 178089.

GCF of Denominators means GCF of 537,5900 as per the given fractions.

GCF of 537,5900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,6141

LCM of Fractions 29/537,6141/5900 is 178089

Given numbers has no common factors except 1. So, there LCM is their product i.e 178089

Least Common Multiple of 29,6141 with GCF Formula

Least Common Multiple of 29,6141 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 29,6141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,6141) = 1

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

GCF(29,6141) x common factors =1 x 1 = 1

LCM(29,6141) = ( 29 × 6141 ) / 1

LCM(29,6141) = 178089 / 1

LCM(29,6141) = 178089


Lets's calculate GCF of 537,5900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178089/1

Therefore the LCM of Fractions 29/537,6141/5900 is 178089

Greatest Common Factor of 537,5900 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,5900 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 5900

List of positive integer factors of 5900 that divides 5900 without a remainder.

1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900

Greatest Common Factor

We found the factors 537,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 537,5900 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 29/537, 6141/5900

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 29/537, 6141/5900?

Answer: LCM of Numerators as per given numbers 29/537, 6141/5900 is

LCM of Numerators i.e. for 29,6141 is 178089

GCF of denominators i.e. for 537,5900 is 1.

Thus, LCM of Fractions is 178089.Finally, LCM of Fractions for 29/537, 6141/5900 is 178089.