Least Common Multiple of 3373/904, 1389/6914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3373/904, 1389/6914 quickly i.e. 4685097/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3373/904, 1389/6914 is 4685097/2.

LCM(3373/904, 1389/6914) = 4685097/2

LCM of 3373/904, 1389/6914

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 3373/904,1389/6914

Given numbers are 3373/904,1389/6914

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 3373,1389

Least Common Multiple of Numerators i.e. LCM of 3373,1389 is 4685097.

GCF of Denominators means GCF of 904,6914 as per the given fractions.

GCF of 904,6914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3373,1389

LCM of Fractions 3373/904,1389/6914 is 4685097/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4685097

Least Common Multiple of 3373,1389 with GCF Formula

Least Common Multiple of 3373,1389 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 3373,1389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3373,1389) = 1

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

GCF(3373,1389) x common factors =1 x 1 = 1

LCM(3373,1389) = ( 3373 × 1389 ) / 1

LCM(3373,1389) = 4685097 / 1

LCM(3373,1389) = 4685097


Lets's calculate GCF of 904,6914

2 904, 6914
452, 3457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4685097/2

Therefore the LCM of Fractions 3373/904,1389/6914 is 4685097/2

Greatest Common Factor of 904,6914 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,6914 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 6914

List of positive integer factors of 6914 that divides 6914 without a remainder.

1,2,3457,6914

Greatest Common Factor

We found the factors 904,6914 . The biggest common factor number is the GCF number.
So the greatest common factor 904,6914 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 3373/904, 1389/6914

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 3373/904, 1389/6914?

Answer: LCM of Numerators as per given numbers 3373/904, 1389/6914 is

LCM of Numerators i.e. for 3373,1389 is 4685097

GCF of denominators i.e. for 904,6914 is 2.

Thus, LCM of Fractions is 4685097/2.Finally, LCM of Fractions for 3373/904, 1389/6914 is 4685097/2.