Least Common Multiple of 81/705, 8793/5104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/705, 8793/5104 quickly i.e. 79137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/705, 8793/5104 is 79137.

LCM(81/705, 8793/5104) = 79137

LCM of 81/705, 8793/5104

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 81/705,8793/5104

Given numbers are 81/705,8793/5104

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 81,8793

Least Common Multiple of Numerators i.e. LCM of 81,8793 is 79137.

GCF of Denominators means GCF of 705,5104 as per the given fractions.

GCF of 705,5104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,8793

LCM of Fractions 81/705,8793/5104 is 79137

3 81, 8793
3 27, 2931
9, 977

∴ So the LCM of the given numbers is 3 x 3 x 9 x 977 = 79137

Least Common Multiple of 81,8793 with GCF Formula

Least Common Multiple of 81,8793 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 81,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,8793) = 9

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

GCF(81,8793) x common factors =9 x 1 = 9

LCM(81,8793) = ( 81 × 8793 ) / 9

LCM(81,8793) = 712233 / 9

LCM(81,8793) = 79137


Lets's calculate GCF of 705,5104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79137/1

Therefore the LCM of Fractions 81/705,8793/5104 is 79137

Greatest Common Factor of 705,5104 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,5104 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104

Greatest Common Factor

We found the factors 705,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 705,5104 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 81/705, 8793/5104

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 81/705, 8793/5104?

Answer: LCM of Numerators as per given numbers 81/705, 8793/5104 is

LCM of Numerators i.e. for 81,8793 is 79137

GCF of denominators i.e. for 705,5104 is 1.

Thus, LCM of Fractions is 79137.Finally, LCM of Fractions for 81/705, 8793/5104 is 79137.