Least Common Multiple of 17/284, 53/338, 941/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/284, 53/338, 941/346 quickly i.e. 847841/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/284, 53/338, 941/346 is 847841/2.

LCM(17/284, 53/338, 941/346) = 847841/2

LCM of 17/284, 53/338, 941/346

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 17/284,53/338,941/346

Given numbers are 17/284,53/338,941/346

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 17,53,941

Least Common Multiple of Numerators i.e. LCM of 17,53,941 is 847841.

GCF of Denominators means GCF of 284,338,346 as per the given fractions.

GCF of 284,338,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,53,941

LCM of Fractions 17/284,53/338,941/346 is 847841/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 847841

Least Common Multiple of 17,53,941 with GCF Formula

Least Common Multiple of 17,53,941 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 17,53,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,53,941) = 1

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

GCF(17,53,941) x common factors =1 x 1 = 1

LCM(17,53,941) = ( 17 × 53 × 941 ) / 1

LCM(17,53,941) = 847841 / 1

LCM(17,53,941) = 847841


Lets's calculate GCF of 284,338,346

2 284, 338, 346
142, 169, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 847841/2

Therefore the LCM of Fractions 17/284,53/338,941/346 is 847841/2

Greatest Common Factor of 284,338,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,338,346 By Matching Biggest Common Factor Method

Factors of 284

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

1,2,4,71,142,284

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 284,338,346 . The biggest common factor number is the GCF number.
So the greatest common factor 284,338,346 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 17/284, 53/338, 941/346

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 17/284, 53/338, 941/346?

Answer: LCM of Numerators as per given numbers 17/284, 53/338, 941/346 is

LCM of Numerators i.e. for 17,53,941 is 847841

GCF of denominators i.e. for 284,338,346 is 2.

Thus, LCM of Fractions is 847841/2.Finally, LCM of Fractions for 17/284, 53/338, 941/346 is 847841/2.