Least Common Multiple of 7242/893, 7698/9037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7242/893, 7698/9037 quickly i.e. 9291486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7242/893, 7698/9037 is 9291486.

LCM(7242/893, 7698/9037) = 9291486

LCM of 7242/893, 7698/9037

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 7242/893,7698/9037

Given numbers are 7242/893,7698/9037

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 7242,7698

Least Common Multiple of Numerators i.e. LCM of 7242,7698 is 9291486.

GCF of Denominators means GCF of 893,9037 as per the given fractions.

GCF of 893,9037 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7242,7698

LCM of Fractions 7242/893,7698/9037 is 9291486

2 7242, 7698
3 3621, 3849
1207, 1283

∴ So the LCM of the given numbers is 2 x 3 x 1207 x 1283 = 9291486

Least Common Multiple of 7242,7698 with GCF Formula

Least Common Multiple of 7242,7698 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 7242,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7242,7698) = 6

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

GCF(7242,7698) x common factors =6 x 1 = 6

LCM(7242,7698) = ( 7242 × 7698 ) / 6

LCM(7242,7698) = 55748916 / 6

LCM(7242,7698) = 9291486


Lets's calculate GCF of 893,9037

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9291486/1

Therefore the LCM of Fractions 7242/893,7698/9037 is 9291486

Greatest Common Factor of 893,9037 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,9037 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 9037

List of positive integer factors of 9037 that divides 9037 without a remainder.

1,7,1291,9037

Greatest Common Factor

We found the factors 893,9037 . The biggest common factor number is the GCF number.
So the greatest common factor 893,9037 is 1.


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 7242/893, 7698/9037

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 7242/893, 7698/9037?

Answer: LCM of Numerators as per given numbers 7242/893, 7698/9037 is

LCM of Numerators i.e. for 7242,7698 is 9291486

GCF of denominators i.e. for 893,9037 is 1.

Thus, LCM of Fractions is 9291486.Finally, LCM of Fractions for 7242/893, 7698/9037 is 9291486.