Least Common Multiple of 5/32, 8/76, 54/14, 71/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/32, 8/76, 54/14, 71/784 quickly i.e. 38340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/32, 8/76, 54/14, 71/784 is 38340.

LCM(5/32, 8/76, 54/14, 71/784) = 38340

LCM of 5/32, 8/76, 54/14, 71/784

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 5/32,8/76,54/14,71/784

Given numbers are 5/32,8/76,54/14,71/784

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 5,8,54,71

Least Common Multiple of Numerators i.e. LCM of 5,8,54,71 is 76680.

GCF of Denominators means GCF of 32,76,14,784 as per the given fractions.

GCF of 32,76,14,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,8,54,71

LCM of Fractions 5/32,8/76,54/14,71/784 is 38340

2 5, 8, 54, 71
5, 4, 27, 71

∴ So the LCM of the given numbers is 2 x 5 x 4 x 27 x 71 = 76680

Least Common Multiple of 5,8,54,71 with GCF Formula

Least Common Multiple of 5,8,54,71 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 5,8,54,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,8,54,71) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(5,8,54,71) x common factors =1 x 2 = 2

LCM(5,8,54,71) = ( 5 × 8 × 54 × 71 ) / 2

LCM(5,8,54,71) = 153360 / 2

LCM(5,8,54,71) = 76680


Lets's calculate GCF of 32,76,14,784

2 32, 76, 14, 784
16, 38, 7, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76680/2

Therefore the LCM of Fractions 5/32,8/76,54/14,71/784 is 38340

Greatest Common Factor of 32,76,14,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,76,14,784 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 32,76,14,784 . The biggest common factor number is the GCF number.
So the greatest common factor 32,76,14,784 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 5/32, 8/76, 54/14, 71/784

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 5/32, 8/76, 54/14, 71/784?

Answer: LCM of Numerators as per given numbers 5/32, 8/76, 54/14, 71/784 is

LCM of Numerators i.e. for 5,8,54,71 is 76680

GCF of denominators i.e. for 32,76,14,784 is 2.

Thus, LCM of Fractions is 38340.Finally, LCM of Fractions for 5/32, 8/76, 54/14, 71/784 is 38340.