Least Common Multiple of 34/256, 13/471, 321/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/256, 13/471, 321/228 quickly i.e. 141882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/256, 13/471, 321/228 is 141882.

LCM(34/256, 13/471, 321/228) = 141882

LCM of 34/256, 13/471, 321/228

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 34/256,13/471,321/228

Given numbers are 34/256,13/471,321/228

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 34,13,321

Least Common Multiple of Numerators i.e. LCM of 34,13,321 is 141882.

GCF of Denominators means GCF of 256,471,228 as per the given fractions.

GCF of 256,471,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,13,321

LCM of Fractions 34/256,13/471,321/228 is 141882

Given numbers has no common factors except 1. So, there LCM is their product i.e 141882

Least Common Multiple of 34,13,321 with GCF Formula

Least Common Multiple of 34,13,321 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 34,13,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,13,321) = 1

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

GCF(34,13,321) x common factors =1 x 1 = 1

LCM(34,13,321) = ( 34 × 13 × 321 ) / 1

LCM(34,13,321) = 141882 / 1

LCM(34,13,321) = 141882


Lets's calculate GCF of 256,471,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141882/1

Therefore the LCM of Fractions 34/256,13/471,321/228 is 141882

Greatest Common Factor of 256,471,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,471,228 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 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 256,471,228 . The biggest common factor number is the GCF number.
So the greatest common factor 256,471,228 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 34/256, 13/471, 321/228

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 34/256, 13/471, 321/228?

Answer: LCM of Numerators as per given numbers 34/256, 13/471, 321/228 is

LCM of Numerators i.e. for 34,13,321 is 141882

GCF of denominators i.e. for 256,471,228 is 1.

Thus, LCM of Fractions is 141882.Finally, LCM of Fractions for 34/256, 13/471, 321/228 is 141882.