Least Common Multiple of 8751/102, 2880/1309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8751/102, 2880/1309 quickly i.e. 8400960/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8751/102, 2880/1309 is 8400960/17.

LCM(8751/102, 2880/1309) = 8400960/17

LCM of 8751/102, 2880/1309

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 8751/102,2880/1309

Given numbers are 8751/102,2880/1309

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 8751,2880

Least Common Multiple of Numerators i.e. LCM of 8751,2880 is 8400960.

GCF of Denominators means GCF of 102,1309 as per the given fractions.

GCF of 102,1309 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8751,2880

LCM of Fractions 8751/102,2880/1309 is 8400960/17

3 8751, 2880
2917, 960

∴ So the LCM of the given numbers is 3 x 2917 x 960 = 8400960

Least Common Multiple of 8751,2880 with GCF Formula

Least Common Multiple of 8751,2880 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 8751,2880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8751,2880) = 3

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

GCF(8751,2880) x common factors =3 x 1 = 3

LCM(8751,2880) = ( 8751 × 2880 ) / 3

LCM(8751,2880) = 25202880 / 3

LCM(8751,2880) = 8400960


Lets's calculate GCF of 102,1309

17 102, 1309
6, 77

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8400960/17

Therefore the LCM of Fractions 8751/102,2880/1309 is 8400960/17

Greatest Common Factor of 102,1309 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,1309 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1,7,11,17,77,119,187,1309

Greatest Common Factor

We found the factors 102,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 102,1309 is 17.


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 8751/102, 2880/1309

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 8751/102, 2880/1309?

Answer: LCM of Numerators as per given numbers 8751/102, 2880/1309 is

LCM of Numerators i.e. for 8751,2880 is 8400960

GCF of denominators i.e. for 102,1309 is 17.

Thus, LCM of Fractions is 8400960/17.Finally, LCM of Fractions for 8751/102, 2880/1309 is 8400960/17.