Least Common Multiple of 7311/61, 8428/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7311/61, 8428/289 quickly i.e. 61617108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7311/61, 8428/289 is 61617108.

LCM(7311/61, 8428/289) = 61617108

LCM of 7311/61, 8428/289

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 7311/61,8428/289

Given numbers are 7311/61,8428/289

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 7311,8428

Least Common Multiple of Numerators i.e. LCM of 7311,8428 is 61617108.

GCF of Denominators means GCF of 61,289 as per the given fractions.

GCF of 61,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7311,8428

LCM of Fractions 7311/61,8428/289 is 61617108

Given numbers has no common factors except 1. So, there LCM is their product i.e 61617108

Least Common Multiple of 7311,8428 with GCF Formula

Least Common Multiple of 7311,8428 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 7311,8428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7311,8428) = 1

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

GCF(7311,8428) x common factors =1 x 1 = 1

LCM(7311,8428) = ( 7311 × 8428 ) / 1

LCM(7311,8428) = 61617108 / 1

LCM(7311,8428) = 61617108


Lets's calculate GCF of 61,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61617108/1

Therefore the LCM of Fractions 7311/61,8428/289 is 61617108

Greatest Common Factor of 61,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,289 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 61,289 . The biggest common factor number is the GCF number.
So the greatest common factor 61,289 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 7311/61, 8428/289

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 7311/61, 8428/289?

Answer: LCM of Numerators as per given numbers 7311/61, 8428/289 is

LCM of Numerators i.e. for 7311,8428 is 61617108

GCF of denominators i.e. for 61,289 is 1.

Thus, LCM of Fractions is 61617108.Finally, LCM of Fractions for 7311/61, 8428/289 is 61617108.