Least Common Multiple of 2198/143, 7610/5313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2198/143, 7610/5313 quickly i.e. 8363390/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2198/143, 7610/5313 is 8363390/11.

LCM(2198/143, 7610/5313) = 8363390/11

LCM of 2198/143, 7610/5313

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 2198/143,7610/5313

Given numbers are 2198/143,7610/5313

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 2198,7610

Least Common Multiple of Numerators i.e. LCM of 2198,7610 is 8363390.

GCF of Denominators means GCF of 143,5313 as per the given fractions.

GCF of 143,5313 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2198,7610

LCM of Fractions 2198/143,7610/5313 is 8363390/11

2 2198, 7610
1099, 3805

∴ So the LCM of the given numbers is 2 x 1099 x 3805 = 8363390

Least Common Multiple of 2198,7610 with GCF Formula

Least Common Multiple of 2198,7610 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 2198,7610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2198,7610) = 2

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

GCF(2198,7610) x common factors =2 x 1 = 2

LCM(2198,7610) = ( 2198 × 7610 ) / 2

LCM(2198,7610) = 16726780 / 2

LCM(2198,7610) = 8363390


Lets's calculate GCF of 143,5313

11 143, 5313
13, 483

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8363390/11

Therefore the LCM of Fractions 2198/143,7610/5313 is 8363390/11

Greatest Common Factor of 143,5313 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,5313 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Greatest Common Factor

We found the factors 143,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 143,5313 is 11.


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 2198/143, 7610/5313

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 2198/143, 7610/5313?

Answer: LCM of Numerators as per given numbers 2198/143, 7610/5313 is

LCM of Numerators i.e. for 2198,7610 is 8363390

GCF of denominators i.e. for 143,5313 is 11.

Thus, LCM of Fractions is 8363390/11.Finally, LCM of Fractions for 2198/143, 7610/5313 is 8363390/11.