Least Common Multiple of 78/80, 51/42, 81/72, 96/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/80, 51/42, 81/72, 96/304 quickly i.e. 286416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/80, 51/42, 81/72, 96/304 is 286416.

LCM(78/80, 51/42, 81/72, 96/304) = 286416

LCM of 78/80, 51/42, 81/72, 96/304

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 78/80,51/42,81/72,96/304

Given numbers are 78/80,51/42,81/72,96/304

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 78,51,81,96

Least Common Multiple of Numerators i.e. LCM of 78,51,81,96 is 572832.

GCF of Denominators means GCF of 80,42,72,304 as per the given fractions.

GCF of 80,42,72,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,51,81,96

LCM of Fractions 78/80,51/42,81/72,96/304 is 286416

2 78, 51, 81, 96
3 39, 51, 81, 48
13, 17, 27, 16

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 27 x 16 = 572832

Least Common Multiple of 78,51,81,96 with GCF Formula

Least Common Multiple of 78,51,81,96 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 78,51,81,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,51,81,96) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(78,51,81,96) x common factors =3 x 18 = 54

LCM(78,51,81,96) = ( 78 × 51 × 81 × 96 ) / 54

LCM(78,51,81,96) = 30932928 / 54

LCM(78,51,81,96) = 572832


Lets's calculate GCF of 80,42,72,304

2 80, 42, 72, 304
40, 21, 36, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572832/2

Therefore the LCM of Fractions 78/80,51/42,81/72,96/304 is 286416

Greatest Common Factor of 80,42,72,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,42,72,304 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 80,42,72,304 . The biggest common factor number is the GCF number.
So the greatest common factor 80,42,72,304 is 2.


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 78/80, 51/42, 81/72, 96/304

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 78/80, 51/42, 81/72, 96/304?

Answer: LCM of Numerators as per given numbers 78/80, 51/42, 81/72, 96/304 is

LCM of Numerators i.e. for 78,51,81,96 is 572832

GCF of denominators i.e. for 80,42,72,304 is 2.

Thus, LCM of Fractions is 286416.Finally, LCM of Fractions for 78/80, 51/42, 81/72, 96/304 is 286416.