Least Common Multiple of 482/41, 928/6787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 482/41, 928/6787 quickly i.e. 223648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/41, 928/6787 is 223648.

LCM(482/41, 928/6787) = 223648

LCM of 482/41, 928/6787

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 482/41,928/6787

Given numbers are 482/41,928/6787

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 482,928

Least Common Multiple of Numerators i.e. LCM of 482,928 is 223648.

GCF of Denominators means GCF of 41,6787 as per the given fractions.

GCF of 41,6787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,928

LCM of Fractions 482/41,928/6787 is 223648

2 482, 928
241, 464

∴ So the LCM of the given numbers is 2 x 241 x 464 = 223648

Least Common Multiple of 482,928 with GCF Formula

Least Common Multiple of 482,928 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 482,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,928) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(482,928) x common factors =2 x 1 = 2

LCM(482,928) = ( 482 × 928 ) / 2

LCM(482,928) = 447296 / 2

LCM(482,928) = 223648


Lets's calculate GCF of 41,6787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223648/1

Therefore the LCM of Fractions 482/41,928/6787 is 223648

Greatest Common Factor of 41,6787 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,6787 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 6787

List of positive integer factors of 6787 that divides 6787 without a remainder.

1,11,617,6787

Greatest Common Factor

We found the factors 41,6787 . The biggest common factor number is the GCF number.
So the greatest common factor 41,6787 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 482/41, 928/6787

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 482/41, 928/6787?

Answer: LCM of Numerators as per given numbers 482/41, 928/6787 is

LCM of Numerators i.e. for 482,928 is 223648

GCF of denominators i.e. for 41,6787 is 1.

Thus, LCM of Fractions is 223648.Finally, LCM of Fractions for 482/41, 928/6787 is 223648.