Least Common Multiple of 3159/350, 4319/3049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3159/350, 4319/3049 quickly i.e. 13643721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3159/350, 4319/3049 is 13643721.

LCM(3159/350, 4319/3049) = 13643721

LCM of 3159/350, 4319/3049

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 3159/350,4319/3049

Given numbers are 3159/350,4319/3049

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 3159,4319

Least Common Multiple of Numerators i.e. LCM of 3159,4319 is 13643721.

GCF of Denominators means GCF of 350,3049 as per the given fractions.

GCF of 350,3049 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3159,4319

LCM of Fractions 3159/350,4319/3049 is 13643721

Given numbers has no common factors except 1. So, there LCM is their product i.e 13643721

Least Common Multiple of 3159,4319 with GCF Formula

Least Common Multiple of 3159,4319 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 3159,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3159,4319) = 1

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

GCF(3159,4319) x common factors =1 x 1 = 1

LCM(3159,4319) = ( 3159 × 4319 ) / 1

LCM(3159,4319) = 13643721 / 1

LCM(3159,4319) = 13643721


Lets's calculate GCF of 350,3049

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13643721/1

Therefore the LCM of Fractions 3159/350,4319/3049 is 13643721

Greatest Common Factor of 350,3049 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,3049 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1,3049

Greatest Common Factor

We found the factors 350,3049 . The biggest common factor number is the GCF number.
So the greatest common factor 350,3049 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3159/350, 4319/3049

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 3159/350, 4319/3049?

Answer: LCM of Numerators as per given numbers 3159/350, 4319/3049 is

LCM of Numerators i.e. for 3159,4319 is 13643721

GCF of denominators i.e. for 350,3049 is 1.

Thus, LCM of Fractions is 13643721.Finally, LCM of Fractions for 3159/350, 4319/3049 is 13643721.