Least Common Multiple of 13/256, 1058/8237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/256, 1058/8237 quickly i.e. 13754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/256, 1058/8237 is 13754.

LCM(13/256, 1058/8237) = 13754

LCM of 13/256, 1058/8237

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 13/256,1058/8237

Given numbers are 13/256,1058/8237

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 13,1058

Least Common Multiple of Numerators i.e. LCM of 13,1058 is 13754.

GCF of Denominators means GCF of 256,8237 as per the given fractions.

GCF of 256,8237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,1058

LCM of Fractions 13/256,1058/8237 is 13754

Given numbers has no common factors except 1. So, there LCM is their product i.e 13754

Least Common Multiple of 13,1058 with GCF Formula

Least Common Multiple of 13,1058 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 13,1058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1058) = 1

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

GCF(13,1058) x common factors =1 x 1 = 1

LCM(13,1058) = ( 13 × 1058 ) / 1

LCM(13,1058) = 13754 / 1

LCM(13,1058) = 13754


Lets's calculate GCF of 256,8237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13754/1

Therefore the LCM of Fractions 13/256,1058/8237 is 13754

Greatest Common Factor of 256,8237 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,8237 By Matching Biggest Common Factor Method

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

Factors of 8237

List of positive integer factors of 8237 that divides 8237 without a remainder.

1,8237

Greatest Common Factor

We found the factors 256,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 256,8237 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 13/256, 1058/8237

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 13/256, 1058/8237?

Answer: LCM of Numerators as per given numbers 13/256, 1058/8237 is

LCM of Numerators i.e. for 13,1058 is 13754

GCF of denominators i.e. for 256,8237 is 1.

Thus, LCM of Fractions is 13754.Finally, LCM of Fractions for 13/256, 1058/8237 is 13754.