Least Common Multiple of 5698/728, 9681/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5698/728, 9681/264 quickly i.e. 7880334/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5698/728, 9681/264 is 7880334/8.

LCM(5698/728, 9681/264) = 7880334/8

LCM of 5698/728, 9681/264

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 5698/728,9681/264

Given numbers are 5698/728,9681/264

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 5698,9681

Least Common Multiple of Numerators i.e. LCM of 5698,9681 is 7880334.

GCF of Denominators means GCF of 728,264 as per the given fractions.

GCF of 728,264 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5698,9681

LCM of Fractions 5698/728,9681/264 is 7880334/8

7 5698, 9681
814, 1383

∴ So the LCM of the given numbers is 7 x 814 x 1383 = 7880334

Least Common Multiple of 5698,9681 with GCF Formula

Least Common Multiple of 5698,9681 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 5698,9681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5698,9681) = 7

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

GCF(5698,9681) x common factors =7 x 1 = 7

LCM(5698,9681) = ( 5698 × 9681 ) / 7

LCM(5698,9681) = 55162338 / 7

LCM(5698,9681) = 7880334


Lets's calculate GCF of 728,264

2 728, 264
2 364, 132
2 182, 66
91, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7880334/8

Therefore the LCM of Fractions 5698/728,9681/264 is 7880334/8

Greatest Common Factor of 728,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,264 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 728,264 . The biggest common factor number is the GCF number.
So the greatest common factor 728,264 is 8.


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 5698/728, 9681/264

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 5698/728, 9681/264?

Answer: LCM of Numerators as per given numbers 5698/728, 9681/264 is

LCM of Numerators i.e. for 5698,9681 is 7880334

GCF of denominators i.e. for 728,264 is 8.

Thus, LCM of Fractions is 7880334/8.Finally, LCM of Fractions for 5698/728, 9681/264 is 7880334/8.