Least Common Multiple of 482/43, 739/20, 716/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 482/43, 739/20, 716/784 quickly i.e. 127518884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/43, 739/20, 716/784 is 127518884.

LCM(482/43, 739/20, 716/784) = 127518884

LCM of 482/43, 739/20, 716/784

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 482/43,739/20,716/784

Given numbers are 482/43,739/20,716/784

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 482,739,716

Least Common Multiple of Numerators i.e. LCM of 482,739,716 is 127518884.

GCF of Denominators means GCF of 43,20,784 as per the given fractions.

GCF of 43,20,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,739,716

LCM of Fractions 482/43,739/20,716/784 is 127518884

2 482, 739, 716
241, 739, 358

∴ So the LCM of the given numbers is 2 x 241 x 739 x 358 = 127518884

Least Common Multiple of 482,739,716 with GCF Formula

Least Common Multiple of 482,739,716 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 482,739,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,739,716) = 1

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

GCF(482,739,716) x common factors =1 x 2 = 2

LCM(482,739,716) = ( 482 × 739 × 716 ) / 2

LCM(482,739,716) = 255037768 / 2

LCM(482,739,716) = 127518884


Lets's calculate GCF of 43,20,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127518884/1

Therefore the LCM of Fractions 482/43,739/20,716/784 is 127518884

Greatest Common Factor of 43,20,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,20,784 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 43,20,784 . The biggest common factor number is the GCF number.
So the greatest common factor 43,20,784 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 482/43, 739/20, 716/784

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 482/43, 739/20, 716/784?

Answer: LCM of Numerators as per given numbers 482/43, 739/20, 716/784 is

LCM of Numerators i.e. for 482,739,716 is 127518884

GCF of denominators i.e. for 43,20,784 is 1.

Thus, LCM of Fractions is 127518884.Finally, LCM of Fractions for 482/43, 739/20, 716/784 is 127518884.