Least Common Multiple of 808/23, 392/42, 943/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/23, 392/42, 943/284 quickly i.e. 37335256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/23, 392/42, 943/284 is 37335256.

LCM(808/23, 392/42, 943/284) = 37335256

LCM of 808/23, 392/42, 943/284

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 808/23,392/42,943/284

Given numbers are 808/23,392/42,943/284

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 808,392,943

Least Common Multiple of Numerators i.e. LCM of 808,392,943 is 37335256.

GCF of Denominators means GCF of 23,42,284 as per the given fractions.

GCF of 23,42,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,392,943

LCM of Fractions 808/23,392/42,943/284 is 37335256

2 808, 392, 943
2 404, 196, 943
2 202, 98, 943
101, 49, 943

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 49 x 943 = 37335256

Least Common Multiple of 808,392,943 with GCF Formula

Least Common Multiple of 808,392,943 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 808,392,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,392,943) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(808,392,943) x common factors =1 x 8 = 8

LCM(808,392,943) = ( 808 × 392 × 943 ) / 8

LCM(808,392,943) = 298682048 / 8

LCM(808,392,943) = 37335256


Lets's calculate GCF of 23,42,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37335256/1

Therefore the LCM of Fractions 808/23,392/42,943/284 is 37335256

Greatest Common Factor of 23,42,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,42,284 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 23,42,284 . The biggest common factor number is the GCF number.
So the greatest common factor 23,42,284 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 808/23, 392/42, 943/284

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 808/23, 392/42, 943/284?

Answer: LCM of Numerators as per given numbers 808/23, 392/42, 943/284 is

LCM of Numerators i.e. for 808,392,943 is 37335256

GCF of denominators i.e. for 23,42,284 is 1.

Thus, LCM of Fractions is 37335256.Finally, LCM of Fractions for 808/23, 392/42, 943/284 is 37335256.