Least Common Multiple of 3099/676, 6720/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3099/676, 6720/923 quickly i.e. 6941760/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3099/676, 6720/923 is 6941760/13.

LCM(3099/676, 6720/923) = 6941760/13

LCM of 3099/676, 6720/923

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 3099/676,6720/923

Given numbers are 3099/676,6720/923

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 3099,6720

Least Common Multiple of Numerators i.e. LCM of 3099,6720 is 6941760.

GCF of Denominators means GCF of 676,923 as per the given fractions.

GCF of 676,923 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3099,6720

LCM of Fractions 3099/676,6720/923 is 6941760/13

3 3099, 6720
1033, 2240

∴ So the LCM of the given numbers is 3 x 1033 x 2240 = 6941760

Least Common Multiple of 3099,6720 with GCF Formula

Least Common Multiple of 3099,6720 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 3099,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3099,6720) = 3

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

GCF(3099,6720) x common factors =3 x 1 = 3

LCM(3099,6720) = ( 3099 × 6720 ) / 3

LCM(3099,6720) = 20825280 / 3

LCM(3099,6720) = 6941760


Lets's calculate GCF of 676,923

13 676, 923
52, 71

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6941760/13

Therefore the LCM of Fractions 3099/676,6720/923 is 6941760/13

Greatest Common Factor of 676,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,923 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 676,923 . The biggest common factor number is the GCF number.
So the greatest common factor 676,923 is 13.


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 3099/676, 6720/923

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 3099/676, 6720/923?

Answer: LCM of Numerators as per given numbers 3099/676, 6720/923 is

LCM of Numerators i.e. for 3099,6720 is 6941760

GCF of denominators i.e. for 676,923 is 13.

Thus, LCM of Fractions is 6941760/13.Finally, LCM of Fractions for 3099/676, 6720/923 is 6941760/13.