Least Common Multiple of 6802/914, 7608/8314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6802/914, 7608/8314 quickly i.e. 12937404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6802/914, 7608/8314 is 12937404.

LCM(6802/914, 7608/8314) = 12937404

LCM of 6802/914, 7608/8314

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 6802/914,7608/8314

Given numbers are 6802/914,7608/8314

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 6802,7608

Least Common Multiple of Numerators i.e. LCM of 6802,7608 is 25874808.

GCF of Denominators means GCF of 914,8314 as per the given fractions.

GCF of 914,8314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6802,7608

LCM of Fractions 6802/914,7608/8314 is 12937404

2 6802, 7608
3401, 3804

∴ So the LCM of the given numbers is 2 x 3401 x 3804 = 25874808

Least Common Multiple of 6802,7608 with GCF Formula

Least Common Multiple of 6802,7608 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 6802,7608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6802,7608) = 2

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

GCF(6802,7608) x common factors =2 x 1 = 2

LCM(6802,7608) = ( 6802 × 7608 ) / 2

LCM(6802,7608) = 51749616 / 2

LCM(6802,7608) = 25874808


Lets's calculate GCF of 914,8314

2 914, 8314
457, 4157

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25874808/2

Therefore the LCM of Fractions 6802/914,7608/8314 is 12937404

Greatest Common Factor of 914,8314 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,8314 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1,2,4157,8314

Greatest Common Factor

We found the factors 914,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 914,8314 is 2.


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 6802/914, 7608/8314

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 6802/914, 7608/8314?

Answer: LCM of Numerators as per given numbers 6802/914, 7608/8314 is

LCM of Numerators i.e. for 6802,7608 is 25874808

GCF of denominators i.e. for 914,8314 is 2.

Thus, LCM of Fractions is 12937404.Finally, LCM of Fractions for 6802/914, 7608/8314 is 12937404.