Least Common Multiple of 5853/442, 5146/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5853/442, 5146/284 quickly i.e. 15059769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5853/442, 5146/284 is 15059769.

LCM(5853/442, 5146/284) = 15059769

LCM of 5853/442, 5146/284

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 5853/442,5146/284

Given numbers are 5853/442,5146/284

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 5853,5146

Least Common Multiple of Numerators i.e. LCM of 5853,5146 is 30119538.

GCF of Denominators means GCF of 442,284 as per the given fractions.

GCF of 442,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5853,5146

LCM of Fractions 5853/442,5146/284 is 15059769

Given numbers has no common factors except 1. So, there LCM is their product i.e 30119538

Least Common Multiple of 5853,5146 with GCF Formula

Least Common Multiple of 5853,5146 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 5853,5146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5853,5146) = 1

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

GCF(5853,5146) x common factors =1 x 1 = 1

LCM(5853,5146) = ( 5853 × 5146 ) / 1

LCM(5853,5146) = 30119538 / 1

LCM(5853,5146) = 30119538


Lets's calculate GCF of 442,284

2 442, 284
221, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30119538/2

Therefore the LCM of Fractions 5853/442,5146/284 is 15059769

Greatest Common Factor of 442,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,284 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

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 442,284 . The biggest common factor number is the GCF number.
So the greatest common factor 442,284 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 5853/442, 5146/284

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 5853/442, 5146/284?

Answer: LCM of Numerators as per given numbers 5853/442, 5146/284 is

LCM of Numerators i.e. for 5853,5146 is 30119538

GCF of denominators i.e. for 442,284 is 2.

Thus, LCM of Fractions is 15059769.Finally, LCM of Fractions for 5853/442, 5146/284 is 15059769.