Least Common Multiple of 75/244, 716/676, 382/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/244, 716/676, 382/694 quickly i.e. 5128350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/244, 716/676, 382/694 is 5128350.

LCM(75/244, 716/676, 382/694) = 5128350

LCM of 75/244, 716/676, 382/694

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 75/244,716/676,382/694

Given numbers are 75/244,716/676,382/694

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 75,716,382

Least Common Multiple of Numerators i.e. LCM of 75,716,382 is 10256700.

GCF of Denominators means GCF of 244,676,694 as per the given fractions.

GCF of 244,676,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,716,382

LCM of Fractions 75/244,716/676,382/694 is 5128350

2 75, 716, 382
75, 358, 191

∴ So the LCM of the given numbers is 2 x 75 x 358 x 191 = 10256700

Least Common Multiple of 75,716,382 with GCF Formula

Least Common Multiple of 75,716,382 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 75,716,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,716,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(75,716,382) x common factors =1 x 2 = 2

LCM(75,716,382) = ( 75 × 716 × 382 ) / 2

LCM(75,716,382) = 20513400 / 2

LCM(75,716,382) = 10256700


Lets's calculate GCF of 244,676,694

2 244, 676, 694
122, 338, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10256700/2

Therefore the LCM of Fractions 75/244,716/676,382/694 is 5128350

Greatest Common Factor of 244,676,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,676,694 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 244,676,694 . The biggest common factor number is the GCF number.
So the greatest common factor 244,676,694 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 75/244, 716/676, 382/694

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 75/244, 716/676, 382/694?

Answer: LCM of Numerators as per given numbers 75/244, 716/676, 382/694 is

LCM of Numerators i.e. for 75,716,382 is 10256700

GCF of denominators i.e. for 244,676,694 is 2.

Thus, LCM of Fractions is 5128350.Finally, LCM of Fractions for 75/244, 716/676, 382/694 is 5128350.