Least Common Multiple of 9044/260, 8092/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9044/260, 8092/256 quickly i.e. 38437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9044/260, 8092/256 is 38437.

LCM(9044/260, 8092/256) = 38437

LCM of 9044/260, 8092/256

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 9044/260,8092/256

Given numbers are 9044/260,8092/256

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 9044,8092

Least Common Multiple of Numerators i.e. LCM of 9044,8092 is 153748.

GCF of Denominators means GCF of 260,256 as per the given fractions.

GCF of 260,256 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9044,8092

LCM of Fractions 9044/260,8092/256 is 38437

2 9044, 8092
2 4522, 4046
7 2261, 2023
17 323, 289
19, 17

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 19 x 17 = 153748

Least Common Multiple of 9044,8092 with GCF Formula

Least Common Multiple of 9044,8092 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 9044,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9044,8092) = 476

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

GCF(9044,8092) x common factors =476 x 1 = 476

LCM(9044,8092) = ( 9044 × 8092 ) / 476

LCM(9044,8092) = 73184048 / 476

LCM(9044,8092) = 153748


Lets's calculate GCF of 260,256

2 260, 256
2 130, 128
65, 64

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153748/4

Therefore the LCM of Fractions 9044/260,8092/256 is 38437

Greatest Common Factor of 260,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,256 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 260,256 . The biggest common factor number is the GCF number.
So the greatest common factor 260,256 is 4.


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 9044/260, 8092/256

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 9044/260, 8092/256?

Answer: LCM of Numerators as per given numbers 9044/260, 8092/256 is

LCM of Numerators i.e. for 9044,8092 is 153748

GCF of denominators i.e. for 260,256 is 4.

Thus, LCM of Fractions is 38437.Finally, LCM of Fractions for 9044/260, 8092/256 is 38437.