Least Common Multiple of 33/27, 85/749, 580/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/27, 85/749, 580/568 quickly i.e. 325380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/27, 85/749, 580/568 is 325380.

LCM(33/27, 85/749, 580/568) = 325380

LCM of 33/27, 85/749, 580/568

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 33/27,85/749,580/568

Given numbers are 33/27,85/749,580/568

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 33,85,580

Least Common Multiple of Numerators i.e. LCM of 33,85,580 is 325380.

GCF of Denominators means GCF of 27,749,568 as per the given fractions.

GCF of 27,749,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,85,580

LCM of Fractions 33/27,85/749,580/568 is 325380

5 33, 85, 580
33, 17, 116

∴ So the LCM of the given numbers is 5 x 33 x 17 x 116 = 325380

Least Common Multiple of 33,85,580 with GCF Formula

Least Common Multiple of 33,85,580 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 33,85,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,85,580) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(33,85,580) x common factors =1 x 5 = 5

LCM(33,85,580) = ( 33 × 85 × 580 ) / 5

LCM(33,85,580) = 1626900 / 5

LCM(33,85,580) = 325380


Lets's calculate GCF of 27,749,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325380/1

Therefore the LCM of Fractions 33/27,85/749,580/568 is 325380

Greatest Common Factor of 27,749,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,749,568 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

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 27,749,568 . The biggest common factor number is the GCF number.
So the greatest common factor 27,749,568 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 33/27, 85/749, 580/568

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 33/27, 85/749, 580/568?

Answer: LCM of Numerators as per given numbers 33/27, 85/749, 580/568 is

LCM of Numerators i.e. for 33,85,580 is 325380

GCF of denominators i.e. for 27,749,568 is 1.

Thus, LCM of Fractions is 325380.Finally, LCM of Fractions for 33/27, 85/749, 580/568 is 325380.