Least Common Multiple of 9258/238, 9524/3256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9258/238, 9524/3256 quickly i.e. 22043298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9258/238, 9524/3256 is 22043298.

LCM(9258/238, 9524/3256) = 22043298

LCM of 9258/238, 9524/3256

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 9258/238,9524/3256

Given numbers are 9258/238,9524/3256

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 9258,9524

Least Common Multiple of Numerators i.e. LCM of 9258,9524 is 44086596.

GCF of Denominators means GCF of 238,3256 as per the given fractions.

GCF of 238,3256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9258,9524

LCM of Fractions 9258/238,9524/3256 is 22043298

2 9258, 9524
4629, 4762

∴ So the LCM of the given numbers is 2 x 4629 x 4762 = 44086596

Least Common Multiple of 9258,9524 with GCF Formula

Least Common Multiple of 9258,9524 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 9258,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9258,9524) = 2

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

GCF(9258,9524) x common factors =2 x 1 = 2

LCM(9258,9524) = ( 9258 × 9524 ) / 2

LCM(9258,9524) = 88173192 / 2

LCM(9258,9524) = 44086596


Lets's calculate GCF of 238,3256

2 238, 3256
119, 1628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44086596/2

Therefore the LCM of Fractions 9258/238,9524/3256 is 22043298

Greatest Common Factor of 238,3256 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,3256 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 3256

List of positive integer factors of 3256 that divides 3256 without a remainder.

1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256

Greatest Common Factor

We found the factors 238,3256 . The biggest common factor number is the GCF number.
So the greatest common factor 238,3256 is 2.


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 9258/238, 9524/3256

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 9258/238, 9524/3256?

Answer: LCM of Numerators as per given numbers 9258/238, 9524/3256 is

LCM of Numerators i.e. for 9258,9524 is 44086596

GCF of denominators i.e. for 238,3256 is 2.

Thus, LCM of Fractions is 22043298.Finally, LCM of Fractions for 9258/238, 9524/3256 is 22043298.