Least Common Multiple of 87/904, 13/626, 969/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/904, 13/626, 969/738 quickly i.e. 365313/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/904, 13/626, 969/738 is 365313/2.

LCM(87/904, 13/626, 969/738) = 365313/2

LCM of 87/904, 13/626, 969/738

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 87/904,13/626,969/738

Given numbers are 87/904,13/626,969/738

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 87,13,969

Least Common Multiple of Numerators i.e. LCM of 87,13,969 is 365313.

GCF of Denominators means GCF of 904,626,738 as per the given fractions.

GCF of 904,626,738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,13,969

LCM of Fractions 87/904,13/626,969/738 is 365313/2

3 87, 13, 969
29, 13, 323

∴ So the LCM of the given numbers is 3 x 29 x 13 x 323 = 365313

Least Common Multiple of 87,13,969 with GCF Formula

Least Common Multiple of 87,13,969 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 87,13,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,13,969) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,13,969) x common factors =1 x 3 = 3

LCM(87,13,969) = ( 87 × 13 × 969 ) / 3

LCM(87,13,969) = 1095939 / 3

LCM(87,13,969) = 365313


Lets's calculate GCF of 904,626,738

2 904, 626, 738
452, 313, 369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365313/2

Therefore the LCM of Fractions 87/904,13/626,969/738 is 365313/2

Greatest Common Factor of 904,626,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,626,738 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 904,626,738 . The biggest common factor number is the GCF number.
So the greatest common factor 904,626,738 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 87/904, 13/626, 969/738

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 87/904, 13/626, 969/738?

Answer: LCM of Numerators as per given numbers 87/904, 13/626, 969/738 is

LCM of Numerators i.e. for 87,13,969 is 365313

GCF of denominators i.e. for 904,626,738 is 2.

Thus, LCM of Fractions is 365313/2.Finally, LCM of Fractions for 87/904, 13/626, 969/738 is 365313/2.