Least Common Multiple of 13/738, 92/996, 892/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/738, 92/996, 892/872 quickly i.e. 133354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/738, 92/996, 892/872 is 133354.

LCM(13/738, 92/996, 892/872) = 133354

LCM of 13/738, 92/996, 892/872

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 13/738,92/996,892/872

Given numbers are 13/738,92/996,892/872

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 13,92,892

Least Common Multiple of Numerators i.e. LCM of 13,92,892 is 266708.

GCF of Denominators means GCF of 738,996,872 as per the given fractions.

GCF of 738,996,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,92,892

LCM of Fractions 13/738,92/996,892/872 is 133354

2 13, 92, 892
2 13, 46, 446
13, 23, 223

∴ So the LCM of the given numbers is 2 x 2 x 13 x 23 x 223 = 266708

Least Common Multiple of 13,92,892 with GCF Formula

Least Common Multiple of 13,92,892 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 13,92,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,92,892) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(13,92,892) x common factors =1 x 4 = 4

LCM(13,92,892) = ( 13 × 92 × 892 ) / 4

LCM(13,92,892) = 1066832 / 4

LCM(13,92,892) = 266708


Lets's calculate GCF of 738,996,872

2 738, 996, 872
369, 498, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266708/2

Therefore the LCM of Fractions 13/738,92/996,892/872 is 133354

Greatest Common Factor of 738,996,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,996,872 By Matching Biggest Common Factor Method

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

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 738,996,872 . The biggest common factor number is the GCF number.
So the greatest common factor 738,996,872 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 13/738, 92/996, 892/872

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 13/738, 92/996, 892/872?

Answer: LCM of Numerators as per given numbers 13/738, 92/996, 892/872 is

LCM of Numerators i.e. for 13,92,892 is 266708

GCF of denominators i.e. for 738,996,872 is 2.

Thus, LCM of Fractions is 133354.Finally, LCM of Fractions for 13/738, 92/996, 892/872 is 133354.