Least Common Multiple of 78/73, 14/24, 91/40, 64/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/73, 14/24, 91/40, 64/392 quickly i.e. 17472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/73, 14/24, 91/40, 64/392 is 17472.

LCM(78/73, 14/24, 91/40, 64/392) = 17472

LCM of 78/73, 14/24, 91/40, 64/392

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 78/73,14/24,91/40,64/392

Given numbers are 78/73,14/24,91/40,64/392

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 78,14,91,64

Least Common Multiple of Numerators i.e. LCM of 78,14,91,64 is 17472.

GCF of Denominators means GCF of 73,24,40,392 as per the given fractions.

GCF of 73,24,40,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,14,91,64

LCM of Fractions 78/73,14/24,91/40,64/392 is 17472

2 78, 14, 91, 64
7 39, 7, 91, 32
13 39, 1, 13, 32
3, 1, 1, 32

∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 1 x 1 x 32 = 17472

Least Common Multiple of 78,14,91,64 with GCF Formula

Least Common Multiple of 78,14,91,64 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 78,14,91,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,14,91,64) = 1

common factors(in case of two or more numbers have common factors) = 364

GCF(78,14,91,64) x common factors =1 x 364 = 364

LCM(78,14,91,64) = ( 78 × 14 × 91 × 64 ) / 364

LCM(78,14,91,64) = 6359808 / 364

LCM(78,14,91,64) = 17472


Lets's calculate GCF of 73,24,40,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17472/1

Therefore the LCM of Fractions 78/73,14/24,91/40,64/392 is 17472

Greatest Common Factor of 73,24,40,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,24,40,392 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 73,24,40,392 . The biggest common factor number is the GCF number.
So the greatest common factor 73,24,40,392 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 78/73, 14/24, 91/40, 64/392

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 78/73, 14/24, 91/40, 64/392?

Answer: LCM of Numerators as per given numbers 78/73, 14/24, 91/40, 64/392 is

LCM of Numerators i.e. for 78,14,91,64 is 17472

GCF of denominators i.e. for 73,24,40,392 is 1.

Thus, LCM of Fractions is 17472.Finally, LCM of Fractions for 78/73, 14/24, 91/40, 64/392 is 17472.