Least Common Multiple of 3718/259, 6922/9264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3718/259, 6922/9264 quickly i.e. 12867998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3718/259, 6922/9264 is 12867998.

LCM(3718/259, 6922/9264) = 12867998

LCM of 3718/259, 6922/9264

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 3718/259,6922/9264

Given numbers are 3718/259,6922/9264

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 3718,6922

Least Common Multiple of Numerators i.e. LCM of 3718,6922 is 12867998.

GCF of Denominators means GCF of 259,9264 as per the given fractions.

GCF of 259,9264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3718,6922

LCM of Fractions 3718/259,6922/9264 is 12867998

2 3718, 6922
1859, 3461

∴ So the LCM of the given numbers is 2 x 1859 x 3461 = 12867998

Least Common Multiple of 3718,6922 with GCF Formula

Least Common Multiple of 3718,6922 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 3718,6922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3718,6922) = 2

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

GCF(3718,6922) x common factors =2 x 1 = 2

LCM(3718,6922) = ( 3718 × 6922 ) / 2

LCM(3718,6922) = 25735996 / 2

LCM(3718,6922) = 12867998


Lets's calculate GCF of 259,9264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12867998/1

Therefore the LCM of Fractions 3718/259,6922/9264 is 12867998

Greatest Common Factor of 259,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,9264 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 259,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 259,9264 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 3718/259, 6922/9264

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 3718/259, 6922/9264?

Answer: LCM of Numerators as per given numbers 3718/259, 6922/9264 is

LCM of Numerators i.e. for 3718,6922 is 12867998

GCF of denominators i.e. for 259,9264 is 1.

Thus, LCM of Fractions is 12867998.Finally, LCM of Fractions for 3718/259, 6922/9264 is 12867998.