Least Common Multiple of 81/279, 83/651, 104/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/279, 83/651, 104/759 quickly i.e. 233064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/279, 83/651, 104/759 is 233064.

LCM(81/279, 83/651, 104/759) = 233064

LCM of 81/279, 83/651, 104/759

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 81/279,83/651,104/759

Given numbers are 81/279,83/651,104/759

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 81,83,104

Least Common Multiple of Numerators i.e. LCM of 81,83,104 is 699192.

GCF of Denominators means GCF of 279,651,759 as per the given fractions.

GCF of 279,651,759 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,83,104

LCM of Fractions 81/279,83/651,104/759 is 233064

Given numbers has no common factors except 1. So, there LCM is their product i.e 699192

Least Common Multiple of 81,83,104 with GCF Formula

Least Common Multiple of 81,83,104 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 81,83,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,83,104) = 1

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

GCF(81,83,104) x common factors =1 x 1 = 1

LCM(81,83,104) = ( 81 × 83 × 104 ) / 1

LCM(81,83,104) = 699192 / 1

LCM(81,83,104) = 699192


Lets's calculate GCF of 279,651,759

3 279, 651, 759
93, 217, 253

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699192/3

Therefore the LCM of Fractions 81/279,83/651,104/759 is 233064

Greatest Common Factor of 279,651,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,651,759 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 279,651,759 . The biggest common factor number is the GCF number.
So the greatest common factor 279,651,759 is 3.


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 81/279, 83/651, 104/759

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 81/279, 83/651, 104/759?

Answer: LCM of Numerators as per given numbers 81/279, 83/651, 104/759 is

LCM of Numerators i.e. for 81,83,104 is 699192

GCF of denominators i.e. for 279,651,759 is 3.

Thus, LCM of Fractions is 233064.Finally, LCM of Fractions for 81/279, 83/651, 104/759 is 233064.