Least Common Multiple of 78/64, 14/75, 306/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/64, 14/75, 306/42 quickly i.e. 27846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/64, 14/75, 306/42 is 27846.

LCM(78/64, 14/75, 306/42) = 27846

LCM of 78/64, 14/75, 306/42

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 78/64,14/75,306/42

Given numbers are 78/64,14/75,306/42

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 78,14,306

Least Common Multiple of Numerators i.e. LCM of 78,14,306 is 27846.

GCF of Denominators means GCF of 64,75,42 as per the given fractions.

GCF of 64,75,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,14,306

LCM of Fractions 78/64,14/75,306/42 is 27846

2 78, 14, 306
3 39, 7, 153
13, 7, 51

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 51 = 27846

Least Common Multiple of 78,14,306 with GCF Formula

Least Common Multiple of 78,14,306 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 78,14,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,14,306) = 2

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

GCF(78,14,306) x common factors =2 x 6 = 12

LCM(78,14,306) = ( 78 × 14 × 306 ) / 12

LCM(78,14,306) = 334152 / 12

LCM(78,14,306) = 27846


Lets's calculate GCF of 64,75,42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27846/1

Therefore the LCM of Fractions 78/64,14/75,306/42 is 27846

Greatest Common Factor of 64,75,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,75,42 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 42

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

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

Greatest Common Factor

We found the factors 64,75,42 . The biggest common factor number is the GCF number.
So the greatest common factor 64,75,42 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 78/64, 14/75, 306/42

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 78/64, 14/75, 306/42?

Answer: LCM of Numerators as per given numbers 78/64, 14/75, 306/42 is

LCM of Numerators i.e. for 78,14,306 is 27846

GCF of denominators i.e. for 64,75,42 is 1.

Thus, LCM of Fractions is 27846.Finally, LCM of Fractions for 78/64, 14/75, 306/42 is 27846.