Least Common Multiple of 284/46, 214/4816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/46, 214/4816 quickly i.e. 15194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/46, 214/4816 is 15194.

LCM(284/46, 214/4816) = 15194

LCM of 284/46, 214/4816

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 284/46,214/4816

Given numbers are 284/46,214/4816

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 284,214

Least Common Multiple of Numerators i.e. LCM of 284,214 is 30388.

GCF of Denominators means GCF of 46,4816 as per the given fractions.

GCF of 46,4816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,214

LCM of Fractions 284/46,214/4816 is 15194

2 284, 214
142, 107

∴ So the LCM of the given numbers is 2 x 142 x 107 = 30388

Least Common Multiple of 284,214 with GCF Formula

Least Common Multiple of 284,214 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 284,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,214) = 2

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

GCF(284,214) x common factors =2 x 1 = 2

LCM(284,214) = ( 284 × 214 ) / 2

LCM(284,214) = 60776 / 2

LCM(284,214) = 30388


Lets's calculate GCF of 46,4816

2 46, 4816
23, 2408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30388/2

Therefore the LCM of Fractions 284/46,214/4816 is 15194

Greatest Common Factor of 46,4816 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,4816 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Greatest Common Factor

We found the factors 46,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 46,4816 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 284/46, 214/4816

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 284/46, 214/4816?

Answer: LCM of Numerators as per given numbers 284/46, 214/4816 is

LCM of Numerators i.e. for 284,214 is 30388

GCF of denominators i.e. for 46,4816 is 2.

Thus, LCM of Fractions is 15194.Finally, LCM of Fractions for 284/46, 214/4816 is 15194.