Least Common Multiple of 800/405, 396/238, 168/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/405, 396/238, 168/438 quickly i.e. 554400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/405, 396/238, 168/438 is 554400.

LCM(800/405, 396/238, 168/438) = 554400

LCM of 800/405, 396/238, 168/438

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 800/405,396/238,168/438

Given numbers are 800/405,396/238,168/438

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 800,396,168

Least Common Multiple of Numerators i.e. LCM of 800,396,168 is 554400.

GCF of Denominators means GCF of 405,238,438 as per the given fractions.

GCF of 405,238,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,396,168

LCM of Fractions 800/405,396/238,168/438 is 554400

2 800, 396, 168
2 400, 198, 84
2 200, 99, 42
3 100, 99, 21
100, 33, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 100 x 33 x 7 = 554400

Least Common Multiple of 800,396,168 with GCF Formula

Least Common Multiple of 800,396,168 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 800,396,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,396,168) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(800,396,168) x common factors =4 x 24 = 96

LCM(800,396,168) = ( 800 × 396 × 168 ) / 96

LCM(800,396,168) = 53222400 / 96

LCM(800,396,168) = 554400


Lets's calculate GCF of 405,238,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554400/1

Therefore the LCM of Fractions 800/405,396/238,168/438 is 554400

Greatest Common Factor of 405,238,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,238,438 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 405,238,438 . The biggest common factor number is the GCF number.
So the greatest common factor 405,238,438 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 800/405, 396/238, 168/438

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 800/405, 396/238, 168/438?

Answer: LCM of Numerators as per given numbers 800/405, 396/238, 168/438 is

LCM of Numerators i.e. for 800,396,168 is 554400

GCF of denominators i.e. for 405,238,438 is 1.

Thus, LCM of Fractions is 554400.Finally, LCM of Fractions for 800/405, 396/238, 168/438 is 554400.