Least Common Multiple of 800/92, 523/43, 838/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/92, 523/43, 838/230 quickly i.e. 175309600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/92, 523/43, 838/230 is 175309600.

LCM(800/92, 523/43, 838/230) = 175309600

LCM of 800/92, 523/43, 838/230

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 800/92,523/43,838/230

Given numbers are 800/92,523/43,838/230

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 800,523,838

Least Common Multiple of Numerators i.e. LCM of 800,523,838 is 175309600.

GCF of Denominators means GCF of 92,43,230 as per the given fractions.

GCF of 92,43,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,523,838

LCM of Fractions 800/92,523/43,838/230 is 175309600

2 800, 523, 838
400, 523, 419

∴ So the LCM of the given numbers is 2 x 400 x 523 x 419 = 175309600

Least Common Multiple of 800,523,838 with GCF Formula

Least Common Multiple of 800,523,838 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 800,523,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,523,838) = 1

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

GCF(800,523,838) x common factors =1 x 2 = 2

LCM(800,523,838) = ( 800 × 523 × 838 ) / 2

LCM(800,523,838) = 350619200 / 2

LCM(800,523,838) = 175309600


Lets's calculate GCF of 92,43,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175309600/1

Therefore the LCM of Fractions 800/92,523/43,838/230 is 175309600

Greatest Common Factor of 92,43,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,43,230 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 92,43,230 . The biggest common factor number is the GCF number.
So the greatest common factor 92,43,230 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 800/92, 523/43, 838/230

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 800/92, 523/43, 838/230?

Answer: LCM of Numerators as per given numbers 800/92, 523/43, 838/230 is

LCM of Numerators i.e. for 800,523,838 is 175309600

GCF of denominators i.e. for 92,43,230 is 1.

Thus, LCM of Fractions is 175309600.Finally, LCM of Fractions for 800/92, 523/43, 838/230 is 175309600.