Least Common Multiple of 6954/364, 2341/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6954/364, 2341/761 quickly i.e. 16279314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6954/364, 2341/761 is 16279314.

LCM(6954/364, 2341/761) = 16279314

LCM of 6954/364, 2341/761

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 6954/364,2341/761

Given numbers are 6954/364,2341/761

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 6954,2341

Least Common Multiple of Numerators i.e. LCM of 6954,2341 is 16279314.

GCF of Denominators means GCF of 364,761 as per the given fractions.

GCF of 364,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6954,2341

LCM of Fractions 6954/364,2341/761 is 16279314

Given numbers has no common factors except 1. So, there LCM is their product i.e 16279314

Least Common Multiple of 6954,2341 with GCF Formula

Least Common Multiple of 6954,2341 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 6954,2341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6954,2341) = 1

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

GCF(6954,2341) x common factors =1 x 1 = 1

LCM(6954,2341) = ( 6954 × 2341 ) / 1

LCM(6954,2341) = 16279314 / 1

LCM(6954,2341) = 16279314


Lets's calculate GCF of 364,761

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16279314/1

Therefore the LCM of Fractions 6954/364,2341/761 is 16279314

Greatest Common Factor of 364,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,761 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 364,761 . The biggest common factor number is the GCF number.
So the greatest common factor 364,761 is 1.


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 6954/364, 2341/761

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 6954/364, 2341/761?

Answer: LCM of Numerators as per given numbers 6954/364, 2341/761 is

LCM of Numerators i.e. for 6954,2341 is 16279314

GCF of denominators i.e. for 364,761 is 1.

Thus, LCM of Fractions is 16279314.Finally, LCM of Fractions for 6954/364, 2341/761 is 16279314.