Least Common Multiple of 284/18, 241/50, 259/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/18, 241/50, 259/896 quickly i.e. 8863498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/18, 241/50, 259/896 is 8863498.

LCM(284/18, 241/50, 259/896) = 8863498

LCM of 284/18, 241/50, 259/896

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 284/18,241/50,259/896

Given numbers are 284/18,241/50,259/896

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 284,241,259

Least Common Multiple of Numerators i.e. LCM of 284,241,259 is 17726996.

GCF of Denominators means GCF of 18,50,896 as per the given fractions.

GCF of 18,50,896 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,241,259

LCM of Fractions 284/18,241/50,259/896 is 8863498

Given numbers has no common factors except 1. So, there LCM is their product i.e 17726996

Least Common Multiple of 284,241,259 with GCF Formula

Least Common Multiple of 284,241,259 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 284,241,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,241,259) = 1

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

GCF(284,241,259) x common factors =1 x 1 = 1

LCM(284,241,259) = ( 284 × 241 × 259 ) / 1

LCM(284,241,259) = 17726996 / 1

LCM(284,241,259) = 17726996


Lets's calculate GCF of 18,50,896

2 18, 50, 896
9, 25, 448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17726996/2

Therefore the LCM of Fractions 284/18,241/50,259/896 is 8863498

Greatest Common Factor of 18,50,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,50,896 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 18,50,896 . The biggest common factor number is the GCF number.
So the greatest common factor 18,50,896 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 284/18, 241/50, 259/896

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 284/18, 241/50, 259/896?

Answer: LCM of Numerators as per given numbers 284/18, 241/50, 259/896 is

LCM of Numerators i.e. for 284,241,259 is 17726996

GCF of denominators i.e. for 18,50,896 is 2.

Thus, LCM of Fractions is 8863498.Finally, LCM of Fractions for 284/18, 241/50, 259/896 is 8863498.