Least Common Multiple of 491/76, 817/58, 287/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/76, 817/58, 287/924 quickly i.e. 115129189/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/76, 817/58, 287/924 is 115129189/2.

LCM(491/76, 817/58, 287/924) = 115129189/2

LCM of 491/76, 817/58, 287/924

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 491/76,817/58,287/924

Given numbers are 491/76,817/58,287/924

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 491,817,287

Least Common Multiple of Numerators i.e. LCM of 491,817,287 is 115129189.

GCF of Denominators means GCF of 76,58,924 as per the given fractions.

GCF of 76,58,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,817,287

LCM of Fractions 491/76,817/58,287/924 is 115129189/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 115129189

Least Common Multiple of 491,817,287 with GCF Formula

Least Common Multiple of 491,817,287 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 491,817,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,817,287) = 1

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

GCF(491,817,287) x common factors =1 x 1 = 1

LCM(491,817,287) = ( 491 × 817 × 287 ) / 1

LCM(491,817,287) = 115129189 / 1

LCM(491,817,287) = 115129189


Lets's calculate GCF of 76,58,924

2 76, 58, 924
38, 29, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115129189/2

Therefore the LCM of Fractions 491/76,817/58,287/924 is 115129189/2

Greatest Common Factor of 76,58,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,58,924 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 76,58,924 . The biggest common factor number is the GCF number.
So the greatest common factor 76,58,924 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 491/76, 817/58, 287/924

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 491/76, 817/58, 287/924?

Answer: LCM of Numerators as per given numbers 491/76, 817/58, 287/924 is

LCM of Numerators i.e. for 491,817,287 is 115129189

GCF of denominators i.e. for 76,58,924 is 2.

Thus, LCM of Fractions is 115129189/2.Finally, LCM of Fractions for 491/76, 817/58, 287/924 is 115129189/2.