Least Common Multiple of 78/96, 65/27, 26/41, 978/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/96, 65/27, 26/41, 978/39 quickly i.e. 63570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/96, 65/27, 26/41, 978/39 is 63570.

LCM(78/96, 65/27, 26/41, 978/39) = 63570

LCM of 78/96, 65/27, 26/41, 978/39

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 78/96,65/27,26/41,978/39

Given numbers are 78/96,65/27,26/41,978/39

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 78,65,26,978

Least Common Multiple of Numerators i.e. LCM of 78,65,26,978 is 63570.

GCF of Denominators means GCF of 96,27,41,39 as per the given fractions.

GCF of 96,27,41,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,65,26,978

LCM of Fractions 78/96,65/27,26/41,978/39 is 63570

2 78, 65, 26, 978
3 39, 65, 13, 489
13 13, 65, 13, 163
1, 5, 1, 163

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 5 x 1 x 163 = 63570

Least Common Multiple of 78,65,26,978 with GCF Formula

Least Common Multiple of 78,65,26,978 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 78,65,26,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,65,26,978) = 1

common factors(in case of two or more numbers have common factors) = 2028

GCF(78,65,26,978) x common factors =1 x 2028 = 2028

LCM(78,65,26,978) = ( 78 × 65 × 26 × 978 ) / 2028

LCM(78,65,26,978) = 128919960 / 2028

LCM(78,65,26,978) = 63570


Lets's calculate GCF of 96,27,41,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63570/1

Therefore the LCM of Fractions 78/96,65/27,26/41,978/39 is 63570

Greatest Common Factor of 96,27,41,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,27,41,39 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 96,27,41,39 . The biggest common factor number is the GCF number.
So the greatest common factor 96,27,41,39 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 78/96, 65/27, 26/41, 978/39

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 78/96, 65/27, 26/41, 978/39?

Answer: LCM of Numerators as per given numbers 78/96, 65/27, 26/41, 978/39 is

LCM of Numerators i.e. for 78,65,26,978 is 63570

GCF of denominators i.e. for 96,27,41,39 is 1.

Thus, LCM of Fractions is 63570.Finally, LCM of Fractions for 78/96, 65/27, 26/41, 978/39 is 63570.