Least Common Multiple of 894/716, 2536/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 894/716, 2536/138 quickly i.e. 566796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/716, 2536/138 is 566796.

LCM(894/716, 2536/138) = 566796

LCM of 894/716, 2536/138

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 894/716,2536/138

Given numbers are 894/716,2536/138

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 894,2536

Least Common Multiple of Numerators i.e. LCM of 894,2536 is 1133592.

GCF of Denominators means GCF of 716,138 as per the given fractions.

GCF of 716,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,2536

LCM of Fractions 894/716,2536/138 is 566796

2 894, 2536
447, 1268

∴ So the LCM of the given numbers is 2 x 447 x 1268 = 1133592

Least Common Multiple of 894,2536 with GCF Formula

Least Common Multiple of 894,2536 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 894,2536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,2536) = 2

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

GCF(894,2536) x common factors =2 x 1 = 2

LCM(894,2536) = ( 894 × 2536 ) / 2

LCM(894,2536) = 2267184 / 2

LCM(894,2536) = 1133592


Lets's calculate GCF of 716,138

2 716, 138
358, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133592/2

Therefore the LCM of Fractions 894/716,2536/138 is 566796

Greatest Common Factor of 716,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,138 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 716,138 . The biggest common factor number is the GCF number.
So the greatest common factor 716,138 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 894/716, 2536/138

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 894/716, 2536/138?

Answer: LCM of Numerators as per given numbers 894/716, 2536/138 is

LCM of Numerators i.e. for 894,2536 is 1133592

GCF of denominators i.e. for 716,138 is 2.

Thus, LCM of Fractions is 566796.Finally, LCM of Fractions for 894/716, 2536/138 is 566796.