Least Common Multiple of 343/76, 394/21, 266/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/76, 394/21, 266/19 quickly i.e. 2567698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/76, 394/21, 266/19 is 2567698.

LCM(343/76, 394/21, 266/19) = 2567698

LCM of 343/76, 394/21, 266/19

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 343/76,394/21,266/19

Given numbers are 343/76,394/21,266/19

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 343,394,266

Least Common Multiple of Numerators i.e. LCM of 343,394,266 is 2567698.

GCF of Denominators means GCF of 76,21,19 as per the given fractions.

GCF of 76,21,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,394,266

LCM of Fractions 343/76,394/21,266/19 is 2567698

2 343, 394, 266
7 343, 197, 133
49, 197, 19

∴ So the LCM of the given numbers is 2 x 7 x 49 x 197 x 19 = 2567698

Least Common Multiple of 343,394,266 with GCF Formula

Least Common Multiple of 343,394,266 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 343,394,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,394,266) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(343,394,266) x common factors =1 x 14 = 14

LCM(343,394,266) = ( 343 × 394 × 266 ) / 14

LCM(343,394,266) = 35947772 / 14

LCM(343,394,266) = 2567698


Lets's calculate GCF of 76,21,19

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2567698/1

Therefore the LCM of Fractions 343/76,394/21,266/19 is 2567698

Greatest Common Factor of 76,21,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,21,19 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 76,21,19 . The biggest common factor number is the GCF number.
So the greatest common factor 76,21,19 is 1.


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 343/76, 394/21, 266/19

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 343/76, 394/21, 266/19?

Answer: LCM of Numerators as per given numbers 343/76, 394/21, 266/19 is

LCM of Numerators i.e. for 343,394,266 is 2567698

GCF of denominators i.e. for 76,21,19 is 1.

Thus, LCM of Fractions is 2567698.Finally, LCM of Fractions for 343/76, 394/21, 266/19 is 2567698.