Least Common Multiple of 749/958, 379/772, 294/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/958, 379/772, 294/866 quickly i.e. 5961291 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/958, 379/772, 294/866 is 5961291.

LCM(749/958, 379/772, 294/866) = 5961291

LCM of 749/958, 379/772, 294/866

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 749/958,379/772,294/866

Given numbers are 749/958,379/772,294/866

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 749,379,294

Least Common Multiple of Numerators i.e. LCM of 749,379,294 is 11922582.

GCF of Denominators means GCF of 958,772,866 as per the given fractions.

GCF of 958,772,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,379,294

LCM of Fractions 749/958,379/772,294/866 is 5961291

7 749, 379, 294
107, 379, 42

∴ So the LCM of the given numbers is 7 x 107 x 379 x 42 = 11922582

Least Common Multiple of 749,379,294 with GCF Formula

Least Common Multiple of 749,379,294 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 749,379,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,379,294) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(749,379,294) x common factors =1 x 7 = 7

LCM(749,379,294) = ( 749 × 379 × 294 ) / 7

LCM(749,379,294) = 83458074 / 7

LCM(749,379,294) = 11922582


Lets's calculate GCF of 958,772,866

2 958, 772, 866
479, 386, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11922582/2

Therefore the LCM of Fractions 749/958,379/772,294/866 is 5961291

Greatest Common Factor of 958,772,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,772,866 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 958,772,866 . The biggest common factor number is the GCF number.
So the greatest common factor 958,772,866 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 749/958, 379/772, 294/866

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 749/958, 379/772, 294/866?

Answer: LCM of Numerators as per given numbers 749/958, 379/772, 294/866 is

LCM of Numerators i.e. for 749,379,294 is 11922582

GCF of denominators i.e. for 958,772,866 is 2.

Thus, LCM of Fractions is 5961291.Finally, LCM of Fractions for 749/958, 379/772, 294/866 is 5961291.