Least Common Multiple of 5336/932, 8634/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5336/932, 8634/278 quickly i.e. 11517756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5336/932, 8634/278 is 11517756.

LCM(5336/932, 8634/278) = 11517756

LCM of 5336/932, 8634/278

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 5336/932,8634/278

Given numbers are 5336/932,8634/278

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 5336,8634

Least Common Multiple of Numerators i.e. LCM of 5336,8634 is 23035512.

GCF of Denominators means GCF of 932,278 as per the given fractions.

GCF of 932,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5336,8634

LCM of Fractions 5336/932,8634/278 is 11517756

2 5336, 8634
2668, 4317

∴ So the LCM of the given numbers is 2 x 2668 x 4317 = 23035512

Least Common Multiple of 5336,8634 with GCF Formula

Least Common Multiple of 5336,8634 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 5336,8634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5336,8634) = 2

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

GCF(5336,8634) x common factors =2 x 1 = 2

LCM(5336,8634) = ( 5336 × 8634 ) / 2

LCM(5336,8634) = 46071024 / 2

LCM(5336,8634) = 23035512


Lets's calculate GCF of 932,278

2 932, 278
466, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23035512/2

Therefore the LCM of Fractions 5336/932,8634/278 is 11517756

Greatest Common Factor of 932,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,278 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 932,278 . The biggest common factor number is the GCF number.
So the greatest common factor 932,278 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5336/932, 8634/278

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 5336/932, 8634/278?

Answer: LCM of Numerators as per given numbers 5336/932, 8634/278 is

LCM of Numerators i.e. for 5336,8634 is 23035512

GCF of denominators i.e. for 932,278 is 2.

Thus, LCM of Fractions is 11517756.Finally, LCM of Fractions for 5336/932, 8634/278 is 11517756.