Least Common Multiple of 286/852, 282/894, 959/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/852, 282/894, 959/240 quickly i.e. 6445439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/852, 282/894, 959/240 is 6445439.

LCM(286/852, 282/894, 959/240) = 6445439

LCM of 286/852, 282/894, 959/240

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 286/852,282/894,959/240

Given numbers are 286/852,282/894,959/240

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 286,282,959

Least Common Multiple of Numerators i.e. LCM of 286,282,959 is 38672634.

GCF of Denominators means GCF of 852,894,240 as per the given fractions.

GCF of 852,894,240 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,282,959

LCM of Fractions 286/852,282/894,959/240 is 6445439

2 286, 282, 959
143, 141, 959

∴ So the LCM of the given numbers is 2 x 143 x 141 x 959 = 38672634

Least Common Multiple of 286,282,959 with GCF Formula

Least Common Multiple of 286,282,959 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 286,282,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,282,959) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(286,282,959) x common factors =1 x 2 = 2

LCM(286,282,959) = ( 286 × 282 × 959 ) / 2

LCM(286,282,959) = 77345268 / 2

LCM(286,282,959) = 38672634


Lets's calculate GCF of 852,894,240

2 852, 894, 240
3 426, 447, 120
142, 149, 40

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38672634/6

Therefore the LCM of Fractions 286/852,282/894,959/240 is 6445439

Greatest Common Factor of 852,894,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,894,240 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

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 852,894,240 . The biggest common factor number is the GCF number.
So the greatest common factor 852,894,240 is 6.


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 286/852, 282/894, 959/240

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 286/852, 282/894, 959/240?

Answer: LCM of Numerators as per given numbers 286/852, 282/894, 959/240 is

LCM of Numerators i.e. for 286,282,959 is 38672634

GCF of denominators i.e. for 852,894,240 is 6.

Thus, LCM of Fractions is 6445439.Finally, LCM of Fractions for 286/852, 282/894, 959/240 is 6445439.