Least Common Multiple of 7482/487, 4928/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7482/487, 4928/906 quickly i.e. 18435648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7482/487, 4928/906 is 18435648.

LCM(7482/487, 4928/906) = 18435648

LCM of 7482/487, 4928/906

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 7482/487,4928/906

Given numbers are 7482/487,4928/906

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 7482,4928

Least Common Multiple of Numerators i.e. LCM of 7482,4928 is 18435648.

GCF of Denominators means GCF of 487,906 as per the given fractions.

GCF of 487,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7482,4928

LCM of Fractions 7482/487,4928/906 is 18435648

2 7482, 4928
3741, 2464

∴ So the LCM of the given numbers is 2 x 3741 x 2464 = 18435648

Least Common Multiple of 7482,4928 with GCF Formula

Least Common Multiple of 7482,4928 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 7482,4928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7482,4928) = 2

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

GCF(7482,4928) x common factors =2 x 1 = 2

LCM(7482,4928) = ( 7482 × 4928 ) / 2

LCM(7482,4928) = 36871296 / 2

LCM(7482,4928) = 18435648


Lets's calculate GCF of 487,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18435648/1

Therefore the LCM of Fractions 7482/487,4928/906 is 18435648

Greatest Common Factor of 487,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,906 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 487,906 . The biggest common factor number is the GCF number.
So the greatest common factor 487,906 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 7482/487, 4928/906

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 7482/487, 4928/906?

Answer: LCM of Numerators as per given numbers 7482/487, 4928/906 is

LCM of Numerators i.e. for 7482,4928 is 18435648

GCF of denominators i.e. for 487,906 is 1.

Thus, LCM of Fractions is 18435648.Finally, LCM of Fractions for 7482/487, 4928/906 is 18435648.