Least Common Multiple of 367/826, 613/248, 894/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/826, 613/248, 894/744 quickly i.e. 100562037 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/826, 613/248, 894/744 is 100562037.

LCM(367/826, 613/248, 894/744) = 100562037

LCM of 367/826, 613/248, 894/744

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 367/826,613/248,894/744

Given numbers are 367/826,613/248,894/744

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 367,613,894

Least Common Multiple of Numerators i.e. LCM of 367,613,894 is 201124074.

GCF of Denominators means GCF of 826,248,744 as per the given fractions.

GCF of 826,248,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,613,894

LCM of Fractions 367/826,613/248,894/744 is 100562037

Given numbers has no common factors except 1. So, there LCM is their product i.e 201124074

Least Common Multiple of 367,613,894 with GCF Formula

Least Common Multiple of 367,613,894 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 367,613,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,613,894) = 1

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

GCF(367,613,894) x common factors =1 x 1 = 1

LCM(367,613,894) = ( 367 × 613 × 894 ) / 1

LCM(367,613,894) = 201124074 / 1

LCM(367,613,894) = 201124074


Lets's calculate GCF of 826,248,744

2 826, 248, 744
413, 124, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201124074/2

Therefore the LCM of Fractions 367/826,613/248,894/744 is 100562037

Greatest Common Factor of 826,248,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,248,744 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 826,248,744 . The biggest common factor number is the GCF number.
So the greatest common factor 826,248,744 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 367/826, 613/248, 894/744

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 367/826, 613/248, 894/744?

Answer: LCM of Numerators as per given numbers 367/826, 613/248, 894/744 is

LCM of Numerators i.e. for 367,613,894 is 201124074

GCF of denominators i.e. for 826,248,744 is 2.

Thus, LCM of Fractions is 100562037.Finally, LCM of Fractions for 367/826, 613/248, 894/744 is 100562037.