Least Common Multiple of 67/43, 29/38, 337/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/43, 29/38, 337/79 quickly i.e. 654791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/43, 29/38, 337/79 is 654791.

LCM(67/43, 29/38, 337/79) = 654791

LCM of 67/43, 29/38, 337/79

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 67/43,29/38,337/79

Given numbers are 67/43,29/38,337/79

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 67,29,337

Least Common Multiple of Numerators i.e. LCM of 67,29,337 is 654791.

GCF of Denominators means GCF of 43,38,79 as per the given fractions.

GCF of 43,38,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,29,337

LCM of Fractions 67/43,29/38,337/79 is 654791

Given numbers has no common factors except 1. So, there LCM is their product i.e 654791

Least Common Multiple of 67,29,337 with GCF Formula

Least Common Multiple of 67,29,337 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 67,29,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,29,337) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,29,337) x common factors =1 x 1 = 1

LCM(67,29,337) = ( 67 × 29 × 337 ) / 1

LCM(67,29,337) = 654791 / 1

LCM(67,29,337) = 654791


Lets's calculate GCF of 43,38,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654791/1

Therefore the LCM of Fractions 67/43,29/38,337/79 is 654791

Greatest Common Factor of 43,38,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,38,79 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 38

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

1,2,19,38

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 43,38,79 . The biggest common factor number is the GCF number.
So the greatest common factor 43,38,79 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/43, 29/38, 337/79

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 67/43, 29/38, 337/79?

Answer: LCM of Numerators as per given numbers 67/43, 29/38, 337/79 is

LCM of Numerators i.e. for 67,29,337 is 654791

GCF of denominators i.e. for 43,38,79 is 1.

Thus, LCM of Fractions is 654791.Finally, LCM of Fractions for 67/43, 29/38, 337/79 is 654791.