Least Common Multiple of 1217/872, 7513/7198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1217/872, 7513/7198 quickly i.e. 9143321/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1217/872, 7513/7198 is 9143321/2.

LCM(1217/872, 7513/7198) = 9143321/2

LCM of 1217/872, 7513/7198

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 1217/872,7513/7198

Given numbers are 1217/872,7513/7198

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 1217,7513

Least Common Multiple of Numerators i.e. LCM of 1217,7513 is 9143321.

GCF of Denominators means GCF of 872,7198 as per the given fractions.

GCF of 872,7198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1217,7513

LCM of Fractions 1217/872,7513/7198 is 9143321/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 9143321

Least Common Multiple of 1217,7513 with GCF Formula

Least Common Multiple of 1217,7513 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 1217,7513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1217,7513) = 1

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

GCF(1217,7513) x common factors =1 x 1 = 1

LCM(1217,7513) = ( 1217 × 7513 ) / 1

LCM(1217,7513) = 9143321 / 1

LCM(1217,7513) = 9143321


Lets's calculate GCF of 872,7198

2 872, 7198
436, 3599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9143321/2

Therefore the LCM of Fractions 1217/872,7513/7198 is 9143321/2

Greatest Common Factor of 872,7198 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,7198 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1,2,59,61,118,122,3599,7198

Greatest Common Factor

We found the factors 872,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 872,7198 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 1217/872, 7513/7198

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 1217/872, 7513/7198?

Answer: LCM of Numerators as per given numbers 1217/872, 7513/7198 is

LCM of Numerators i.e. for 1217,7513 is 9143321

GCF of denominators i.e. for 872,7198 is 2.

Thus, LCM of Fractions is 9143321/2.Finally, LCM of Fractions for 1217/872, 7513/7198 is 9143321/2.