Least Common Multiple of 60/288, 812/493, 749/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/288, 812/493, 749/568 quickly i.e. 1303260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/288, 812/493, 749/568 is 1303260.

LCM(60/288, 812/493, 749/568) = 1303260

LCM of 60/288, 812/493, 749/568

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 60/288,812/493,749/568

Given numbers are 60/288,812/493,749/568

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 60,812,749

Least Common Multiple of Numerators i.e. LCM of 60,812,749 is 1303260.

GCF of Denominators means GCF of 288,493,568 as per the given fractions.

GCF of 288,493,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,812,749

LCM of Fractions 60/288,812/493,749/568 is 1303260

2 60, 812, 749
2 30, 406, 749
7 15, 203, 749
15, 29, 107

∴ So the LCM of the given numbers is 2 x 2 x 7 x 15 x 29 x 107 = 1303260

Least Common Multiple of 60,812,749 with GCF Formula

Least Common Multiple of 60,812,749 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 60,812,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,812,749) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(60,812,749) x common factors =1 x 28 = 28

LCM(60,812,749) = ( 60 × 812 × 749 ) / 28

LCM(60,812,749) = 36491280 / 28

LCM(60,812,749) = 1303260


Lets's calculate GCF of 288,493,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1303260/1

Therefore the LCM of Fractions 60/288,812/493,749/568 is 1303260

Greatest Common Factor of 288,493,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,493,568 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 288,493,568 . The biggest common factor number is the GCF number.
So the greatest common factor 288,493,568 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 60/288, 812/493, 749/568

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 60/288, 812/493, 749/568?

Answer: LCM of Numerators as per given numbers 60/288, 812/493, 749/568 is

LCM of Numerators i.e. for 60,812,749 is 1303260

GCF of denominators i.e. for 288,493,568 is 1.

Thus, LCM of Fractions is 1303260.Finally, LCM of Fractions for 60/288, 812/493, 749/568 is 1303260.