Least Common Multiple of 858/11, 256/4286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/11, 256/4286 quickly i.e. 109824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/11, 256/4286 is 109824.

LCM(858/11, 256/4286) = 109824

LCM of 858/11, 256/4286

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 858/11,256/4286

Given numbers are 858/11,256/4286

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 858,256

Least Common Multiple of Numerators i.e. LCM of 858,256 is 109824.

GCF of Denominators means GCF of 11,4286 as per the given fractions.

GCF of 11,4286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,256

LCM of Fractions 858/11,256/4286 is 109824

2 858, 256
429, 128

∴ So the LCM of the given numbers is 2 x 429 x 128 = 109824

Least Common Multiple of 858,256 with GCF Formula

Least Common Multiple of 858,256 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 858,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,256) = 2

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

GCF(858,256) x common factors =2 x 1 = 2

LCM(858,256) = ( 858 × 256 ) / 2

LCM(858,256) = 219648 / 2

LCM(858,256) = 109824


Lets's calculate GCF of 11,4286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109824/1

Therefore the LCM of Fractions 858/11,256/4286 is 109824

Greatest Common Factor of 11,4286 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,4286 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 4286

List of positive integer factors of 4286 that divides 4286 without a remainder.

1,2,2143,4286

Greatest Common Factor

We found the factors 11,4286 . The biggest common factor number is the GCF number.
So the greatest common factor 11,4286 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 858/11, 256/4286

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 858/11, 256/4286?

Answer: LCM of Numerators as per given numbers 858/11, 256/4286 is

LCM of Numerators i.e. for 858,256 is 109824

GCF of denominators i.e. for 11,4286 is 1.

Thus, LCM of Fractions is 109824.Finally, LCM of Fractions for 858/11, 256/4286 is 109824.