Least Common Multiple of 31/350, 6641/6484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/350, 6641/6484 quickly i.e. 205871/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/350, 6641/6484 is 205871/2.

LCM(31/350, 6641/6484) = 205871/2

LCM of 31/350, 6641/6484

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 31/350,6641/6484

Given numbers are 31/350,6641/6484

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 31,6641

Least Common Multiple of Numerators i.e. LCM of 31,6641 is 205871.

GCF of Denominators means GCF of 350,6484 as per the given fractions.

GCF of 350,6484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,6641

LCM of Fractions 31/350,6641/6484 is 205871/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 205871

Least Common Multiple of 31,6641 with GCF Formula

Least Common Multiple of 31,6641 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 31,6641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,6641) = 1

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

GCF(31,6641) x common factors =1 x 1 = 1

LCM(31,6641) = ( 31 × 6641 ) / 1

LCM(31,6641) = 205871 / 1

LCM(31,6641) = 205871


Lets's calculate GCF of 350,6484

2 350, 6484
175, 3242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205871/2

Therefore the LCM of Fractions 31/350,6641/6484 is 205871/2

Greatest Common Factor of 350,6484 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,6484 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1,2,4,1621,3242,6484

Greatest Common Factor

We found the factors 350,6484 . The biggest common factor number is the GCF number.
So the greatest common factor 350,6484 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 31/350, 6641/6484

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 31/350, 6641/6484?

Answer: LCM of Numerators as per given numbers 31/350, 6641/6484 is

LCM of Numerators i.e. for 31,6641 is 205871

GCF of denominators i.e. for 350,6484 is 2.

Thus, LCM of Fractions is 205871/2.Finally, LCM of Fractions for 31/350, 6641/6484 is 205871/2.