Least Common Multiple of 284/276, 5666/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/276, 5666/240 quickly i.e. 804572/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/276, 5666/240 is 804572/12.

LCM(284/276, 5666/240) = 804572/12

LCM of 284/276, 5666/240

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 284/276,5666/240

Given numbers are 284/276,5666/240

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 284,5666

Least Common Multiple of Numerators i.e. LCM of 284,5666 is 804572.

GCF of Denominators means GCF of 276,240 as per the given fractions.

GCF of 276,240 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,5666

LCM of Fractions 284/276,5666/240 is 804572/12

2 284, 5666
142, 2833

∴ So the LCM of the given numbers is 2 x 142 x 2833 = 804572

Least Common Multiple of 284,5666 with GCF Formula

Least Common Multiple of 284,5666 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 284,5666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,5666) = 2

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

GCF(284,5666) x common factors =2 x 1 = 2

LCM(284,5666) = ( 284 × 5666 ) / 2

LCM(284,5666) = 1609144 / 2

LCM(284,5666) = 804572


Lets's calculate GCF of 276,240

2 276, 240
2 138, 120
3 69, 60
23, 20

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804572/12

Therefore the LCM of Fractions 284/276,5666/240 is 804572/12

Greatest Common Factor of 276,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,240 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 276,240 . The biggest common factor number is the GCF number.
So the greatest common factor 276,240 is 12.


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 284/276, 5666/240

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 284/276, 5666/240?

Answer: LCM of Numerators as per given numbers 284/276, 5666/240 is

LCM of Numerators i.e. for 284,5666 is 804572

GCF of denominators i.e. for 276,240 is 12.

Thus, LCM of Fractions is 804572/12.Finally, LCM of Fractions for 284/276, 5666/240 is 804572/12.