Least Common Multiple of 484/258, 9936/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/258, 9936/294 quickly i.e. 200376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/258, 9936/294 is 200376.

LCM(484/258, 9936/294) = 200376

LCM of 484/258, 9936/294

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 484/258,9936/294

Given numbers are 484/258,9936/294

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 484,9936

Least Common Multiple of Numerators i.e. LCM of 484,9936 is 1202256.

GCF of Denominators means GCF of 258,294 as per the given fractions.

GCF of 258,294 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,9936

LCM of Fractions 484/258,9936/294 is 200376

2 484, 9936
2 242, 4968
121, 2484

∴ So the LCM of the given numbers is 2 x 2 x 121 x 2484 = 1202256

Least Common Multiple of 484,9936 with GCF Formula

Least Common Multiple of 484,9936 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 484,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,9936) = 4

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

GCF(484,9936) x common factors =4 x 1 = 4

LCM(484,9936) = ( 484 × 9936 ) / 4

LCM(484,9936) = 4809024 / 4

LCM(484,9936) = 1202256


Lets's calculate GCF of 258,294

2 258, 294
3 129, 147
43, 49

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202256/6

Therefore the LCM of Fractions 484/258,9936/294 is 200376

Greatest Common Factor of 258,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,294 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 258,294 . The biggest common factor number is the GCF number.
So the greatest common factor 258,294 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 484/258, 9936/294

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 484/258, 9936/294?

Answer: LCM of Numerators as per given numbers 484/258, 9936/294 is

LCM of Numerators i.e. for 484,9936 is 1202256

GCF of denominators i.e. for 258,294 is 6.

Thus, LCM of Fractions is 200376.Finally, LCM of Fractions for 484/258, 9936/294 is 200376.