Least Common Multiple of 239/43, 344/6716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/43, 344/6716 quickly i.e. 82216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/43, 344/6716 is 82216.

LCM(239/43, 344/6716) = 82216

LCM of 239/43, 344/6716

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 239/43,344/6716

Given numbers are 239/43,344/6716

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 239,344

Least Common Multiple of Numerators i.e. LCM of 239,344 is 82216.

GCF of Denominators means GCF of 43,6716 as per the given fractions.

GCF of 43,6716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,344

LCM of Fractions 239/43,344/6716 is 82216

Given numbers has no common factors except 1. So, there LCM is their product i.e 82216

Least Common Multiple of 239,344 with GCF Formula

Least Common Multiple of 239,344 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 239,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,344) = 1

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

GCF(239,344) x common factors =1 x 1 = 1

LCM(239,344) = ( 239 × 344 ) / 1

LCM(239,344) = 82216 / 1

LCM(239,344) = 82216


Lets's calculate GCF of 43,6716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82216/1

Therefore the LCM of Fractions 239/43,344/6716 is 82216

Greatest Common Factor of 43,6716 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,6716 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 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1,2,4,23,46,73,92,146,292,1679,3358,6716

Greatest Common Factor

We found the factors 43,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 43,6716 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 239/43, 344/6716

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 239/43, 344/6716?

Answer: LCM of Numerators as per given numbers 239/43, 344/6716 is

LCM of Numerators i.e. for 239,344 is 82216

GCF of denominators i.e. for 43,6716 is 1.

Thus, LCM of Fractions is 82216.Finally, LCM of Fractions for 239/43, 344/6716 is 82216.