Least Common Multiple of 2698/330, 5544/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2698/330, 5544/478 quickly i.e. 3739428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2698/330, 5544/478 is 3739428.

LCM(2698/330, 5544/478) = 3739428

LCM of 2698/330, 5544/478

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 2698/330,5544/478

Given numbers are 2698/330,5544/478

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 2698,5544

Least Common Multiple of Numerators i.e. LCM of 2698,5544 is 7478856.

GCF of Denominators means GCF of 330,478 as per the given fractions.

GCF of 330,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2698,5544

LCM of Fractions 2698/330,5544/478 is 3739428

2 2698, 5544
1349, 2772

∴ So the LCM of the given numbers is 2 x 1349 x 2772 = 7478856

Least Common Multiple of 2698,5544 with GCF Formula

Least Common Multiple of 2698,5544 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 2698,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2698,5544) = 2

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

GCF(2698,5544) x common factors =2 x 1 = 2

LCM(2698,5544) = ( 2698 × 5544 ) / 2

LCM(2698,5544) = 14957712 / 2

LCM(2698,5544) = 7478856


Lets's calculate GCF of 330,478

2 330, 478
165, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7478856/2

Therefore the LCM of Fractions 2698/330,5544/478 is 3739428

Greatest Common Factor of 330,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,478 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 330,478 . The biggest common factor number is the GCF number.
So the greatest common factor 330,478 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 2698/330, 5544/478

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 2698/330, 5544/478?

Answer: LCM of Numerators as per given numbers 2698/330, 5544/478 is

LCM of Numerators i.e. for 2698,5544 is 7478856

GCF of denominators i.e. for 330,478 is 2.

Thus, LCM of Fractions is 3739428.Finally, LCM of Fractions for 2698/330, 5544/478 is 3739428.