Least Common Multiple of 8517/686, 9159/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8517/686, 9159/980 quickly i.e. 26002401/98 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8517/686, 9159/980 is 26002401/98.

LCM(8517/686, 9159/980) = 26002401/98

LCM of 8517/686, 9159/980

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 8517/686,9159/980

Given numbers are 8517/686,9159/980

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 8517,9159

Least Common Multiple of Numerators i.e. LCM of 8517,9159 is 26002401.

GCF of Denominators means GCF of 686,980 as per the given fractions.

GCF of 686,980 is 98 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8517,9159

LCM of Fractions 8517/686,9159/980 is 26002401/98

3 8517, 9159
2839, 3053

∴ So the LCM of the given numbers is 3 x 2839 x 3053 = 26002401

Least Common Multiple of 8517,9159 with GCF Formula

Least Common Multiple of 8517,9159 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 8517,9159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8517,9159) = 3

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

GCF(8517,9159) x common factors =3 x 1 = 3

LCM(8517,9159) = ( 8517 × 9159 ) / 3

LCM(8517,9159) = 78007203 / 3

LCM(8517,9159) = 26002401


Lets's calculate GCF of 686,980

2 686, 980
7 343, 490
7 49, 70
7, 10

∴ So the GCF of the given numbers is 2 x 7 x 7 = 98

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26002401/98

Therefore the LCM of Fractions 8517/686,9159/980 is 26002401/98

Greatest Common Factor of 686,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,980 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 686,980 . The biggest common factor number is the GCF number.
So the greatest common factor 686,980 is 98.


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 8517/686, 9159/980

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 8517/686, 9159/980?

Answer: LCM of Numerators as per given numbers 8517/686, 9159/980 is

LCM of Numerators i.e. for 8517,9159 is 26002401

GCF of denominators i.e. for 686,980 is 98.

Thus, LCM of Fractions is 26002401/98.Finally, LCM of Fractions for 8517/686, 9159/980 is 26002401/98.