Least Common Multiple of 78/33, 28/44, 33/69, 83/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/33, 28/44, 33/69, 83/326 quickly i.e. 996996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/33, 28/44, 33/69, 83/326 is 996996.

LCM(78/33, 28/44, 33/69, 83/326) = 996996

LCM of 78/33, 28/44, 33/69, 83/326

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 78/33,28/44,33/69,83/326

Given numbers are 78/33,28/44,33/69,83/326

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 78,28,33,83

Least Common Multiple of Numerators i.e. LCM of 78,28,33,83 is 996996.

GCF of Denominators means GCF of 33,44,69,326 as per the given fractions.

GCF of 33,44,69,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,28,33,83

LCM of Fractions 78/33,28/44,33/69,83/326 is 996996

2 78, 28, 33, 83
3 39, 14, 33, 83
13, 14, 11, 83

∴ So the LCM of the given numbers is 2 x 3 x 13 x 14 x 11 x 83 = 996996

Least Common Multiple of 78,28,33,83 with GCF Formula

Least Common Multiple of 78,28,33,83 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 78,28,33,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,28,33,83) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,28,33,83) x common factors =1 x 6 = 6

LCM(78,28,33,83) = ( 78 × 28 × 33 × 83 ) / 6

LCM(78,28,33,83) = 5981976 / 6

LCM(78,28,33,83) = 996996


Lets's calculate GCF of 33,44,69,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996996/1

Therefore the LCM of Fractions 78/33,28/44,33/69,83/326 is 996996

Greatest Common Factor of 33,44,69,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,44,69,326 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 33,44,69,326 . The biggest common factor number is the GCF number.
So the greatest common factor 33,44,69,326 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 78/33, 28/44, 33/69, 83/326

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 78/33, 28/44, 33/69, 83/326?

Answer: LCM of Numerators as per given numbers 78/33, 28/44, 33/69, 83/326 is

LCM of Numerators i.e. for 78,28,33,83 is 996996

GCF of denominators i.e. for 33,44,69,326 is 1.

Thus, LCM of Fractions is 996996.Finally, LCM of Fractions for 78/33, 28/44, 33/69, 83/326 is 996996.