Least Common Multiple of 5181/898, 7141/7294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5181/898, 7141/7294 quickly i.e. 36997521/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5181/898, 7141/7294 is 36997521/2.

LCM(5181/898, 7141/7294) = 36997521/2

LCM of 5181/898, 7141/7294

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 5181/898,7141/7294

Given numbers are 5181/898,7141/7294

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 5181,7141

Least Common Multiple of Numerators i.e. LCM of 5181,7141 is 36997521.

GCF of Denominators means GCF of 898,7294 as per the given fractions.

GCF of 898,7294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5181,7141

LCM of Fractions 5181/898,7141/7294 is 36997521/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 36997521

Least Common Multiple of 5181,7141 with GCF Formula

Least Common Multiple of 5181,7141 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 5181,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5181,7141) = 1

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

GCF(5181,7141) x common factors =1 x 1 = 1

LCM(5181,7141) = ( 5181 × 7141 ) / 1

LCM(5181,7141) = 36997521 / 1

LCM(5181,7141) = 36997521


Lets's calculate GCF of 898,7294

2 898, 7294
449, 3647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36997521/2

Therefore the LCM of Fractions 5181/898,7141/7294 is 36997521/2

Greatest Common Factor of 898,7294 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,7294 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1,2,7,14,521,1042,3647,7294

Greatest Common Factor

We found the factors 898,7294 . The biggest common factor number is the GCF number.
So the greatest common factor 898,7294 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 5181/898, 7141/7294

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 5181/898, 7141/7294?

Answer: LCM of Numerators as per given numbers 5181/898, 7141/7294 is

LCM of Numerators i.e. for 5181,7141 is 36997521

GCF of denominators i.e. for 898,7294 is 2.

Thus, LCM of Fractions is 36997521/2.Finally, LCM of Fractions for 5181/898, 7141/7294 is 36997521/2.