Least Common Multiple of 28/509, 950/321, 418/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/509, 950/321, 418/326 quickly i.e. 146300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/509, 950/321, 418/326 is 146300.

LCM(28/509, 950/321, 418/326) = 146300

LCM of 28/509, 950/321, 418/326

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 28/509,950/321,418/326

Given numbers are 28/509,950/321,418/326

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 28,950,418

Least Common Multiple of Numerators i.e. LCM of 28,950,418 is 146300.

GCF of Denominators means GCF of 509,321,326 as per the given fractions.

GCF of 509,321,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,950,418

LCM of Fractions 28/509,950/321,418/326 is 146300

2 28, 950, 418
19 14, 475, 209
14, 25, 11

∴ So the LCM of the given numbers is 2 x 19 x 14 x 25 x 11 = 146300

Least Common Multiple of 28,950,418 with GCF Formula

Least Common Multiple of 28,950,418 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 28,950,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,950,418) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(28,950,418) x common factors =2 x 38 = 76

LCM(28,950,418) = ( 28 × 950 × 418 ) / 76

LCM(28,950,418) = 11118800 / 76

LCM(28,950,418) = 146300


Lets's calculate GCF of 509,321,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146300/1

Therefore the LCM of Fractions 28/509,950/321,418/326 is 146300

Greatest Common Factor of 509,321,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,321,326 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 509,321,326 . The biggest common factor number is the GCF number.
So the greatest common factor 509,321,326 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 28/509, 950/321, 418/326

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 28/509, 950/321, 418/326?

Answer: LCM of Numerators as per given numbers 28/509, 950/321, 418/326 is

LCM of Numerators i.e. for 28,950,418 is 146300

GCF of denominators i.e. for 509,321,326 is 1.

Thus, LCM of Fractions is 146300.Finally, LCM of Fractions for 28/509, 950/321, 418/326 is 146300.