Least Common Multiple of 8809/121, 4561/6988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8809/121, 4561/6988 quickly i.e. 40177849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8809/121, 4561/6988 is 40177849.

LCM(8809/121, 4561/6988) = 40177849

LCM of 8809/121, 4561/6988

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 8809/121,4561/6988

Given numbers are 8809/121,4561/6988

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 8809,4561

Least Common Multiple of Numerators i.e. LCM of 8809,4561 is 40177849.

GCF of Denominators means GCF of 121,6988 as per the given fractions.

GCF of 121,6988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8809,4561

LCM of Fractions 8809/121,4561/6988 is 40177849

Given numbers has no common factors except 1. So, there LCM is their product i.e 40177849

Least Common Multiple of 8809,4561 with GCF Formula

Least Common Multiple of 8809,4561 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 8809,4561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8809,4561) = 1

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

GCF(8809,4561) x common factors =1 x 1 = 1

LCM(8809,4561) = ( 8809 × 4561 ) / 1

LCM(8809,4561) = 40177849 / 1

LCM(8809,4561) = 40177849


Lets's calculate GCF of 121,6988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40177849/1

Therefore the LCM of Fractions 8809/121,4561/6988 is 40177849

Greatest Common Factor of 121,6988 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,6988 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Greatest Common Factor

We found the factors 121,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 121,6988 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8809/121, 4561/6988

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 8809/121, 4561/6988?

Answer: LCM of Numerators as per given numbers 8809/121, 4561/6988 is

LCM of Numerators i.e. for 8809,4561 is 40177849

GCF of denominators i.e. for 121,6988 is 1.

Thus, LCM of Fractions is 40177849.Finally, LCM of Fractions for 8809/121, 4561/6988 is 40177849.