Least Common Multiple of 4504/247, 8278/7798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4504/247, 8278/7798 quickly i.e. 18642056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4504/247, 8278/7798 is 18642056.

LCM(4504/247, 8278/7798) = 18642056

LCM of 4504/247, 8278/7798

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 4504/247,8278/7798

Given numbers are 4504/247,8278/7798

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 4504,8278

Least Common Multiple of Numerators i.e. LCM of 4504,8278 is 18642056.

GCF of Denominators means GCF of 247,7798 as per the given fractions.

GCF of 247,7798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4504,8278

LCM of Fractions 4504/247,8278/7798 is 18642056

2 4504, 8278
2252, 4139

∴ So the LCM of the given numbers is 2 x 2252 x 4139 = 18642056

Least Common Multiple of 4504,8278 with GCF Formula

Least Common Multiple of 4504,8278 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 4504,8278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4504,8278) = 2

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

GCF(4504,8278) x common factors =2 x 1 = 2

LCM(4504,8278) = ( 4504 × 8278 ) / 2

LCM(4504,8278) = 37284112 / 2

LCM(4504,8278) = 18642056


Lets's calculate GCF of 247,7798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18642056/1

Therefore the LCM of Fractions 4504/247,8278/7798 is 18642056

Greatest Common Factor of 247,7798 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,7798 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1,2,7,14,557,1114,3899,7798

Greatest Common Factor

We found the factors 247,7798 . The biggest common factor number is the GCF number.
So the greatest common factor 247,7798 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 4504/247, 8278/7798

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 4504/247, 8278/7798?

Answer: LCM of Numerators as per given numbers 4504/247, 8278/7798 is

LCM of Numerators i.e. for 4504,8278 is 18642056

GCF of denominators i.e. for 247,7798 is 1.

Thus, LCM of Fractions is 18642056.Finally, LCM of Fractions for 4504/247, 8278/7798 is 18642056.