Least Common Multiple of 3143/493, 3118/4159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3143/493, 3118/4159 quickly i.e. 9799874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3143/493, 3118/4159 is 9799874.

LCM(3143/493, 3118/4159) = 9799874

LCM of 3143/493, 3118/4159

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 3143/493,3118/4159

Given numbers are 3143/493,3118/4159

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 3143,3118

Least Common Multiple of Numerators i.e. LCM of 3143,3118 is 9799874.

GCF of Denominators means GCF of 493,4159 as per the given fractions.

GCF of 493,4159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3143,3118

LCM of Fractions 3143/493,3118/4159 is 9799874

Given numbers has no common factors except 1. So, there LCM is their product i.e 9799874

Least Common Multiple of 3143,3118 with GCF Formula

Least Common Multiple of 3143,3118 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 3143,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3143,3118) = 1

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

GCF(3143,3118) x common factors =1 x 1 = 1

LCM(3143,3118) = ( 3143 × 3118 ) / 1

LCM(3143,3118) = 9799874 / 1

LCM(3143,3118) = 9799874


Lets's calculate GCF of 493,4159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9799874/1

Therefore the LCM of Fractions 3143/493,3118/4159 is 9799874

Greatest Common Factor of 493,4159 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,4159 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 4159

List of positive integer factors of 4159 that divides 4159 without a remainder.

1,4159

Greatest Common Factor

We found the factors 493,4159 . The biggest common factor number is the GCF number.
So the greatest common factor 493,4159 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 3143/493, 3118/4159

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 3143/493, 3118/4159?

Answer: LCM of Numerators as per given numbers 3143/493, 3118/4159 is

LCM of Numerators i.e. for 3143,3118 is 9799874

GCF of denominators i.e. for 493,4159 is 1.

Thus, LCM of Fractions is 9799874.Finally, LCM of Fractions for 3143/493, 3118/4159 is 9799874.