Least Common Multiple of 28/261, 282/325, 828/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/261, 282/325, 828/322 quickly i.e. 272412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/261, 282/325, 828/322 is 272412.

LCM(28/261, 282/325, 828/322) = 272412

LCM of 28/261, 282/325, 828/322

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 28/261,282/325,828/322

Given numbers are 28/261,282/325,828/322

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 28,282,828

Least Common Multiple of Numerators i.e. LCM of 28,282,828 is 272412.

GCF of Denominators means GCF of 261,325,322 as per the given fractions.

GCF of 261,325,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,282,828

LCM of Fractions 28/261,282/325,828/322 is 272412

2 28, 282, 828
2 14, 141, 414
3 7, 141, 207
7, 47, 69

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 47 x 69 = 272412

Least Common Multiple of 28,282,828 with GCF Formula

Least Common Multiple of 28,282,828 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 28,282,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,282,828) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(28,282,828) x common factors =2 x 12 = 24

LCM(28,282,828) = ( 28 × 282 × 828 ) / 24

LCM(28,282,828) = 6537888 / 24

LCM(28,282,828) = 272412


Lets's calculate GCF of 261,325,322

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272412/1

Therefore the LCM of Fractions 28/261,282/325,828/322 is 272412

Greatest Common Factor of 261,325,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,325,322 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 261,325,322 . The biggest common factor number is the GCF number.
So the greatest common factor 261,325,322 is 1.


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 28/261, 282/325, 828/322

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 28/261, 282/325, 828/322?

Answer: LCM of Numerators as per given numbers 28/261, 282/325, 828/322 is

LCM of Numerators i.e. for 28,282,828 is 272412

GCF of denominators i.e. for 261,325,322 is 1.

Thus, LCM of Fractions is 272412.Finally, LCM of Fractions for 28/261, 282/325, 828/322 is 272412.