Least Common Multiple of 13/798, 38/438, 884/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/798, 38/438, 884/974 quickly i.e. 8398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/798, 38/438, 884/974 is 8398.

LCM(13/798, 38/438, 884/974) = 8398

LCM of 13/798, 38/438, 884/974

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 13/798,38/438,884/974

Given numbers are 13/798,38/438,884/974

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 13,38,884

Least Common Multiple of Numerators i.e. LCM of 13,38,884 is 16796.

GCF of Denominators means GCF of 798,438,974 as per the given fractions.

GCF of 798,438,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,38,884

LCM of Fractions 13/798,38/438,884/974 is 8398

2 13, 38, 884
13 13, 19, 442
1, 19, 34

∴ So the LCM of the given numbers is 2 x 13 x 1 x 19 x 34 = 16796

Least Common Multiple of 13,38,884 with GCF Formula

Least Common Multiple of 13,38,884 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 13,38,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,38,884) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,38,884) x common factors =1 x 26 = 26

LCM(13,38,884) = ( 13 × 38 × 884 ) / 26

LCM(13,38,884) = 436696 / 26

LCM(13,38,884) = 16796


Lets's calculate GCF of 798,438,974

2 798, 438, 974
399, 219, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16796/2

Therefore the LCM of Fractions 13/798,38/438,884/974 is 8398

Greatest Common Factor of 798,438,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,438,974 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 798,438,974 . The biggest common factor number is the GCF number.
So the greatest common factor 798,438,974 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 13/798, 38/438, 884/974

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 13/798, 38/438, 884/974?

Answer: LCM of Numerators as per given numbers 13/798, 38/438, 884/974 is

LCM of Numerators i.e. for 13,38,884 is 16796

GCF of denominators i.e. for 798,438,974 is 2.

Thus, LCM of Fractions is 8398.Finally, LCM of Fractions for 13/798, 38/438, 884/974 is 8398.