Least Common Multiple of 343/105, 3983/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/105, 3983/873 quickly i.e. 195167/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/105, 3983/873 is 195167/3.

LCM(343/105, 3983/873) = 195167/3

LCM of 343/105, 3983/873

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 343/105,3983/873

Given numbers are 343/105,3983/873

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 343,3983

Least Common Multiple of Numerators i.e. LCM of 343,3983 is 195167.

GCF of Denominators means GCF of 105,873 as per the given fractions.

GCF of 105,873 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,3983

LCM of Fractions 343/105,3983/873 is 195167/3

7 343, 3983
49, 569

∴ So the LCM of the given numbers is 7 x 49 x 569 = 195167

Least Common Multiple of 343,3983 with GCF Formula

Least Common Multiple of 343,3983 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 343,3983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,3983) = 7

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

GCF(343,3983) x common factors =7 x 1 = 7

LCM(343,3983) = ( 343 × 3983 ) / 7

LCM(343,3983) = 1366169 / 7

LCM(343,3983) = 195167


Lets's calculate GCF of 105,873

3 105, 873
35, 291

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195167/3

Therefore the LCM of Fractions 343/105,3983/873 is 195167/3

Greatest Common Factor of 105,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,873 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 105,873 . The biggest common factor number is the GCF number.
So the greatest common factor 105,873 is 3.


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 343/105, 3983/873

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 343/105, 3983/873?

Answer: LCM of Numerators as per given numbers 343/105, 3983/873 is

LCM of Numerators i.e. for 343,3983 is 195167

GCF of denominators i.e. for 105,873 is 3.

Thus, LCM of Fractions is 195167/3.Finally, LCM of Fractions for 343/105, 3983/873 is 195167/3.