Least Common Multiple of 34/800, 43/134, 230/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/800, 43/134, 230/392 quickly i.e. 84065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/800, 43/134, 230/392 is 84065.

LCM(34/800, 43/134, 230/392) = 84065

LCM of 34/800, 43/134, 230/392

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 34/800,43/134,230/392

Given numbers are 34/800,43/134,230/392

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 34,43,230

Least Common Multiple of Numerators i.e. LCM of 34,43,230 is 168130.

GCF of Denominators means GCF of 800,134,392 as per the given fractions.

GCF of 800,134,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,43,230

LCM of Fractions 34/800,43/134,230/392 is 84065

2 34, 43, 230
17, 43, 115

∴ So the LCM of the given numbers is 2 x 17 x 43 x 115 = 168130

Least Common Multiple of 34,43,230 with GCF Formula

Least Common Multiple of 34,43,230 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 34,43,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,43,230) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,43,230) x common factors =1 x 2 = 2

LCM(34,43,230) = ( 34 × 43 × 230 ) / 2

LCM(34,43,230) = 336260 / 2

LCM(34,43,230) = 168130


Lets's calculate GCF of 800,134,392

2 800, 134, 392
400, 67, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168130/2

Therefore the LCM of Fractions 34/800,43/134,230/392 is 84065

Greatest Common Factor of 800,134,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,134,392 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 800,134,392 . The biggest common factor number is the GCF number.
So the greatest common factor 800,134,392 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 34/800, 43/134, 230/392

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 34/800, 43/134, 230/392?

Answer: LCM of Numerators as per given numbers 34/800, 43/134, 230/392 is

LCM of Numerators i.e. for 34,43,230 is 168130

GCF of denominators i.e. for 800,134,392 is 2.

Thus, LCM of Fractions is 84065.Finally, LCM of Fractions for 34/800, 43/134, 230/392 is 84065.