Least Common Multiple of 30/572, 14/755, 287/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/572, 14/755, 287/795 quickly i.e. 8610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/572, 14/755, 287/795 is 8610.

LCM(30/572, 14/755, 287/795) = 8610

LCM of 30/572, 14/755, 287/795

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 30/572,14/755,287/795

Given numbers are 30/572,14/755,287/795

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 30,14,287

Least Common Multiple of Numerators i.e. LCM of 30,14,287 is 8610.

GCF of Denominators means GCF of 572,755,795 as per the given fractions.

GCF of 572,755,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,14,287

LCM of Fractions 30/572,14/755,287/795 is 8610

2 30, 14, 287
7 15, 7, 287
15, 1, 41

∴ So the LCM of the given numbers is 2 x 7 x 15 x 1 x 41 = 8610

Least Common Multiple of 30,14,287 with GCF Formula

Least Common Multiple of 30,14,287 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 30,14,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,14,287) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(30,14,287) x common factors =1 x 14 = 14

LCM(30,14,287) = ( 30 × 14 × 287 ) / 14

LCM(30,14,287) = 120540 / 14

LCM(30,14,287) = 8610


Lets's calculate GCF of 572,755,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8610/1

Therefore the LCM of Fractions 30/572,14/755,287/795 is 8610

Greatest Common Factor of 572,755,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,755,795 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 572,755,795 . The biggest common factor number is the GCF number.
So the greatest common factor 572,755,795 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 30/572, 14/755, 287/795

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 30/572, 14/755, 287/795?

Answer: LCM of Numerators as per given numbers 30/572, 14/755, 287/795 is

LCM of Numerators i.e. for 30,14,287 is 8610

GCF of denominators i.e. for 572,755,795 is 1.

Thus, LCM of Fractions is 8610.Finally, LCM of Fractions for 30/572, 14/755, 287/795 is 8610.