Least Common Multiple of 6/256, 14/818, 57/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/256, 14/818, 57/568 quickly i.e. 399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/256, 14/818, 57/568 is 399.

LCM(6/256, 14/818, 57/568) = 399

LCM of 6/256, 14/818, 57/568

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 6/256,14/818,57/568

Given numbers are 6/256,14/818,57/568

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 6,14,57

Least Common Multiple of Numerators i.e. LCM of 6,14,57 is 798.

GCF of Denominators means GCF of 256,818,568 as per the given fractions.

GCF of 256,818,568 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,14,57

LCM of Fractions 6/256,14/818,57/568 is 399

2 6, 14, 57
3 3, 7, 57
1, 7, 19

∴ So the LCM of the given numbers is 2 x 3 x 1 x 7 x 19 = 798

Least Common Multiple of 6,14,57 with GCF Formula

Least Common Multiple of 6,14,57 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 6,14,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,14,57) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,14,57) x common factors =1 x 6 = 6

LCM(6,14,57) = ( 6 × 14 × 57 ) / 6

LCM(6,14,57) = 4788 / 6

LCM(6,14,57) = 798


Lets's calculate GCF of 256,818,568

2 256, 818, 568
128, 409, 284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798/2

Therefore the LCM of Fractions 6/256,14/818,57/568 is 399

Greatest Common Factor of 256,818,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,818,568 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 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 256,818,568 . The biggest common factor number is the GCF number.
So the greatest common factor 256,818,568 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 6/256, 14/818, 57/568

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 6/256, 14/818, 57/568?

Answer: LCM of Numerators as per given numbers 6/256, 14/818, 57/568 is

LCM of Numerators i.e. for 6,14,57 is 798

GCF of denominators i.e. for 256,818,568 is 2.

Thus, LCM of Fractions is 399.Finally, LCM of Fractions for 6/256, 14/818, 57/568 is 399.