Least Common Multiple of 73/269, 5857/7189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/269, 5857/7189 quickly i.e. 427561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/269, 5857/7189 is 427561.

LCM(73/269, 5857/7189) = 427561

LCM of 73/269, 5857/7189

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 73/269,5857/7189

Given numbers are 73/269,5857/7189

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 73,5857

Least Common Multiple of Numerators i.e. LCM of 73,5857 is 427561.

GCF of Denominators means GCF of 269,7189 as per the given fractions.

GCF of 269,7189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,5857

LCM of Fractions 73/269,5857/7189 is 427561

Given numbers has no common factors except 1. So, there LCM is their product i.e 427561

Least Common Multiple of 73,5857 with GCF Formula

Least Common Multiple of 73,5857 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 73,5857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,5857) = 1

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

GCF(73,5857) x common factors =1 x 1 = 1

LCM(73,5857) = ( 73 × 5857 ) / 1

LCM(73,5857) = 427561 / 1

LCM(73,5857) = 427561


Lets's calculate GCF of 269,7189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427561/1

Therefore the LCM of Fractions 73/269,5857/7189 is 427561

Greatest Common Factor of 269,7189 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,7189 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 7189

List of positive integer factors of 7189 that divides 7189 without a remainder.

1,7,13,79,91,553,1027,7189

Greatest Common Factor

We found the factors 269,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 269,7189 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 73/269, 5857/7189

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 73/269, 5857/7189?

Answer: LCM of Numerators as per given numbers 73/269, 5857/7189 is

LCM of Numerators i.e. for 73,5857 is 427561

GCF of denominators i.e. for 269,7189 is 1.

Thus, LCM of Fractions is 427561.Finally, LCM of Fractions for 73/269, 5857/7189 is 427561.