Least Common Multiple of 26/798, 394/38, 570/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/798, 394/38, 570/338 quickly i.e. 729885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/798, 394/38, 570/338 is 729885.

LCM(26/798, 394/38, 570/338) = 729885

LCM of 26/798, 394/38, 570/338

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 26/798,394/38,570/338

Given numbers are 26/798,394/38,570/338

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 26,394,570

Least Common Multiple of Numerators i.e. LCM of 26,394,570 is 1459770.

GCF of Denominators means GCF of 798,38,338 as per the given fractions.

GCF of 798,38,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,394,570

LCM of Fractions 26/798,394/38,570/338 is 729885

2 26, 394, 570
13, 197, 285

∴ So the LCM of the given numbers is 2 x 13 x 197 x 285 = 1459770

Least Common Multiple of 26,394,570 with GCF Formula

Least Common Multiple of 26,394,570 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 26,394,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,394,570) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(26,394,570) x common factors =2 x 2 = 4

LCM(26,394,570) = ( 26 × 394 × 570 ) / 4

LCM(26,394,570) = 5839080 / 4

LCM(26,394,570) = 1459770


Lets's calculate GCF of 798,38,338

2 798, 38, 338
399, 19, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1459770/2

Therefore the LCM of Fractions 26/798,394/38,570/338 is 729885

Greatest Common Factor of 798,38,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,38,338 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 798,38,338 . The biggest common factor number is the GCF number.
So the greatest common factor 798,38,338 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 26/798, 394/38, 570/338

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 26/798, 394/38, 570/338?

Answer: LCM of Numerators as per given numbers 26/798, 394/38, 570/338 is

LCM of Numerators i.e. for 26,394,570 is 1459770

GCF of denominators i.e. for 798,38,338 is 2.

Thus, LCM of Fractions is 729885.Finally, LCM of Fractions for 26/798, 394/38, 570/338 is 729885.