Least Common Multiple of 3427/294, 9047/9038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3427/294, 9047/9038 quickly i.e. 31004069/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3427/294, 9047/9038 is 31004069/2.

LCM(3427/294, 9047/9038) = 31004069/2

LCM of 3427/294, 9047/9038

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 3427/294,9047/9038

Given numbers are 3427/294,9047/9038

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 3427,9047

Least Common Multiple of Numerators i.e. LCM of 3427,9047 is 31004069.

GCF of Denominators means GCF of 294,9038 as per the given fractions.

GCF of 294,9038 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3427,9047

LCM of Fractions 3427/294,9047/9038 is 31004069/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 31004069

Least Common Multiple of 3427,9047 with GCF Formula

Least Common Multiple of 3427,9047 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 3427,9047 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3427,9047) = 1

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

GCF(3427,9047) x common factors =1 x 1 = 1

LCM(3427,9047) = ( 3427 × 9047 ) / 1

LCM(3427,9047) = 31004069 / 1

LCM(3427,9047) = 31004069


Lets's calculate GCF of 294,9038

2 294, 9038
147, 4519

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31004069/2

Therefore the LCM of Fractions 3427/294,9047/9038 is 31004069/2

Greatest Common Factor of 294,9038 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,9038 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1,2,4519,9038

Greatest Common Factor

We found the factors 294,9038 . The biggest common factor number is the GCF number.
So the greatest common factor 294,9038 is 2.


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 3427/294, 9047/9038

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 3427/294, 9047/9038?

Answer: LCM of Numerators as per given numbers 3427/294, 9047/9038 is

LCM of Numerators i.e. for 3427,9047 is 31004069

GCF of denominators i.e. for 294,9038 is 2.

Thus, LCM of Fractions is 31004069/2.Finally, LCM of Fractions for 3427/294, 9047/9038 is 31004069/2.