Least Common Multiple of 9808/261, 7988/5079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9808/261, 7988/5079 quickly i.e. 19586576/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9808/261, 7988/5079 is 19586576/3.

LCM(9808/261, 7988/5079) = 19586576/3

LCM of 9808/261, 7988/5079

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 9808/261,7988/5079

Given numbers are 9808/261,7988/5079

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 9808,7988

Least Common Multiple of Numerators i.e. LCM of 9808,7988 is 19586576.

GCF of Denominators means GCF of 261,5079 as per the given fractions.

GCF of 261,5079 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9808,7988

LCM of Fractions 9808/261,7988/5079 is 19586576/3

2 9808, 7988
2 4904, 3994
2452, 1997

∴ So the LCM of the given numbers is 2 x 2 x 2452 x 1997 = 19586576

Least Common Multiple of 9808,7988 with GCF Formula

Least Common Multiple of 9808,7988 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 9808,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9808,7988) = 4

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

GCF(9808,7988) x common factors =4 x 1 = 4

LCM(9808,7988) = ( 9808 × 7988 ) / 4

LCM(9808,7988) = 78346304 / 4

LCM(9808,7988) = 19586576


Lets's calculate GCF of 261,5079

3 261, 5079
87, 1693

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19586576/3

Therefore the LCM of Fractions 9808/261,7988/5079 is 19586576/3

Greatest Common Factor of 261,5079 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,5079 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 5079

List of positive integer factors of 5079 that divides 5079 without a remainder.

1,3,1693,5079

Greatest Common Factor

We found the factors 261,5079 . The biggest common factor number is the GCF number.
So the greatest common factor 261,5079 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9808/261, 7988/5079

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 9808/261, 7988/5079?

Answer: LCM of Numerators as per given numbers 9808/261, 7988/5079 is

LCM of Numerators i.e. for 9808,7988 is 19586576

GCF of denominators i.e. for 261,5079 is 3.

Thus, LCM of Fractions is 19586576/3.Finally, LCM of Fractions for 9808/261, 7988/5079 is 19586576/3.