Least Common Multiple of 6441/354, 7349/7798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6441/354, 7349/7798 quickly i.e. 47334909/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6441/354, 7349/7798 is 47334909/2.

LCM(6441/354, 7349/7798) = 47334909/2

LCM of 6441/354, 7349/7798

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 6441/354,7349/7798

Given numbers are 6441/354,7349/7798

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 6441,7349

Least Common Multiple of Numerators i.e. LCM of 6441,7349 is 47334909.

GCF of Denominators means GCF of 354,7798 as per the given fractions.

GCF of 354,7798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6441,7349

LCM of Fractions 6441/354,7349/7798 is 47334909/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 47334909

Least Common Multiple of 6441,7349 with GCF Formula

Least Common Multiple of 6441,7349 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 6441,7349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6441,7349) = 1

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

GCF(6441,7349) x common factors =1 x 1 = 1

LCM(6441,7349) = ( 6441 × 7349 ) / 1

LCM(6441,7349) = 47334909 / 1

LCM(6441,7349) = 47334909


Lets's calculate GCF of 354,7798

2 354, 7798
177, 3899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47334909/2

Therefore the LCM of Fractions 6441/354,7349/7798 is 47334909/2

Greatest Common Factor of 354,7798 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,7798 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1,2,7,14,557,1114,3899,7798

Greatest Common Factor

We found the factors 354,7798 . The biggest common factor number is the GCF number.
So the greatest common factor 354,7798 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 6441/354, 7349/7798

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 6441/354, 7349/7798?

Answer: LCM of Numerators as per given numbers 6441/354, 7349/7798 is

LCM of Numerators i.e. for 6441,7349 is 47334909

GCF of denominators i.e. for 354,7798 is 2.

Thus, LCM of Fractions is 47334909/2.Finally, LCM of Fractions for 6441/354, 7349/7798 is 47334909/2.