Least Common Multiple of 7678/479, 2675/9900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7678/479, 2675/9900 quickly i.e. 20538650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7678/479, 2675/9900 is 20538650.

LCM(7678/479, 2675/9900) = 20538650

LCM of 7678/479, 2675/9900

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 7678/479,2675/9900

Given numbers are 7678/479,2675/9900

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 7678,2675

Least Common Multiple of Numerators i.e. LCM of 7678,2675 is 20538650.

GCF of Denominators means GCF of 479,9900 as per the given fractions.

GCF of 479,9900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7678,2675

LCM of Fractions 7678/479,2675/9900 is 20538650

Given numbers has no common factors except 1. So, there LCM is their product i.e 20538650

Least Common Multiple of 7678,2675 with GCF Formula

Least Common Multiple of 7678,2675 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 7678,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7678,2675) = 1

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

GCF(7678,2675) x common factors =1 x 1 = 1

LCM(7678,2675) = ( 7678 × 2675 ) / 1

LCM(7678,2675) = 20538650 / 1

LCM(7678,2675) = 20538650


Lets's calculate GCF of 479,9900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20538650/1

Therefore the LCM of Fractions 7678/479,2675/9900 is 20538650

Greatest Common Factor of 479,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,9900 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors 479,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 479,9900 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7678/479, 2675/9900

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 7678/479, 2675/9900?

Answer: LCM of Numerators as per given numbers 7678/479, 2675/9900 is

LCM of Numerators i.e. for 7678,2675 is 20538650

GCF of denominators i.e. for 479,9900 is 1.

Thus, LCM of Fractions is 20538650.Finally, LCM of Fractions for 7678/479, 2675/9900 is 20538650.