Least Common Multiple of 28/864, 69/317, 745/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/864, 69/317, 745/228 quickly i.e. 1439340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/864, 69/317, 745/228 is 1439340.

LCM(28/864, 69/317, 745/228) = 1439340

LCM of 28/864, 69/317, 745/228

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 28/864,69/317,745/228

Given numbers are 28/864,69/317,745/228

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 28,69,745

Least Common Multiple of Numerators i.e. LCM of 28,69,745 is 1439340.

GCF of Denominators means GCF of 864,317,228 as per the given fractions.

GCF of 864,317,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,69,745

LCM of Fractions 28/864,69/317,745/228 is 1439340

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439340

Least Common Multiple of 28,69,745 with GCF Formula

Least Common Multiple of 28,69,745 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 28,69,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,69,745) = 1

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

GCF(28,69,745) x common factors =1 x 1 = 1

LCM(28,69,745) = ( 28 × 69 × 745 ) / 1

LCM(28,69,745) = 1439340 / 1

LCM(28,69,745) = 1439340


Lets's calculate GCF of 864,317,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1439340/1

Therefore the LCM of Fractions 28/864,69/317,745/228 is 1439340

Greatest Common Factor of 864,317,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,317,228 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 864,317,228 . The biggest common factor number is the GCF number.
So the greatest common factor 864,317,228 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 28/864, 69/317, 745/228

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 28/864, 69/317, 745/228?

Answer: LCM of Numerators as per given numbers 28/864, 69/317, 745/228 is

LCM of Numerators i.e. for 28,69,745 is 1439340

GCF of denominators i.e. for 864,317,228 is 1.

Thus, LCM of Fractions is 1439340.Finally, LCM of Fractions for 28/864, 69/317, 745/228 is 1439340.