Least Common Multiple of 30/488, 4299/9384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/488, 4299/9384 quickly i.e. 42990/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/488, 4299/9384 is 42990/8.

LCM(30/488, 4299/9384) = 42990/8

LCM of 30/488, 4299/9384

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 30/488,4299/9384

Given numbers are 30/488,4299/9384

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 30,4299

Least Common Multiple of Numerators i.e. LCM of 30,4299 is 42990.

GCF of Denominators means GCF of 488,9384 as per the given fractions.

GCF of 488,9384 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,4299

LCM of Fractions 30/488,4299/9384 is 42990/8

3 30, 4299
10, 1433

∴ So the LCM of the given numbers is 3 x 10 x 1433 = 42990

Least Common Multiple of 30,4299 with GCF Formula

Least Common Multiple of 30,4299 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 30,4299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,4299) = 3

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

GCF(30,4299) x common factors =3 x 1 = 3

LCM(30,4299) = ( 30 × 4299 ) / 3

LCM(30,4299) = 128970 / 3

LCM(30,4299) = 42990


Lets's calculate GCF of 488,9384

2 488, 9384
2 244, 4692
2 122, 2346
61, 1173

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42990/8

Therefore the LCM of Fractions 30/488,4299/9384 is 42990/8

Greatest Common Factor of 488,9384 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,9384 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Greatest Common Factor

We found the factors 488,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 488,9384 is 8.


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 30/488, 4299/9384

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 30/488, 4299/9384?

Answer: LCM of Numerators as per given numbers 30/488, 4299/9384 is

LCM of Numerators i.e. for 30,4299 is 42990

GCF of denominators i.e. for 488,9384 is 8.

Thus, LCM of Fractions is 42990/8.Finally, LCM of Fractions for 30/488, 4299/9384 is 42990/8.