Least Common Multiple of 343/24, 141/4326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/24, 141/4326 quickly i.e. 48363/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/24, 141/4326 is 48363/6.

LCM(343/24, 141/4326) = 48363/6

LCM of 343/24, 141/4326

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 343/24,141/4326

Given numbers are 343/24,141/4326

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 343,141

Least Common Multiple of Numerators i.e. LCM of 343,141 is 48363.

GCF of Denominators means GCF of 24,4326 as per the given fractions.

GCF of 24,4326 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,141

LCM of Fractions 343/24,141/4326 is 48363/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 48363

Least Common Multiple of 343,141 with GCF Formula

Least Common Multiple of 343,141 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 343,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,141) = 1

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

GCF(343,141) x common factors =1 x 1 = 1

LCM(343,141) = ( 343 × 141 ) / 1

LCM(343,141) = 48363 / 1

LCM(343,141) = 48363


Lets's calculate GCF of 24,4326

2 24, 4326
3 12, 2163
4, 721

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48363/6

Therefore the LCM of Fractions 343/24,141/4326 is 48363/6

Greatest Common Factor of 24,4326 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,4326 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Greatest Common Factor

We found the factors 24,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 24,4326 is 6.


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 343/24, 141/4326

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 343/24, 141/4326?

Answer: LCM of Numerators as per given numbers 343/24, 141/4326 is

LCM of Numerators i.e. for 343,141 is 48363

GCF of denominators i.e. for 24,4326 is 6.

Thus, LCM of Fractions is 48363/6.Finally, LCM of Fractions for 343/24, 141/4326 is 48363/6.