Least Common Multiple of 528/27, 582/1041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/27, 582/1041 quickly i.e. 17072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/27, 582/1041 is 17072.

LCM(528/27, 582/1041) = 17072

LCM of 528/27, 582/1041

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 528/27,582/1041

Given numbers are 528/27,582/1041

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 528,582

Least Common Multiple of Numerators i.e. LCM of 528,582 is 51216.

GCF of Denominators means GCF of 27,1041 as per the given fractions.

GCF of 27,1041 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,582

LCM of Fractions 528/27,582/1041 is 17072

2 528, 582
3 264, 291
88, 97

∴ So the LCM of the given numbers is 2 x 3 x 88 x 97 = 51216

Least Common Multiple of 528,582 with GCF Formula

Least Common Multiple of 528,582 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 528,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,582) = 6

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

GCF(528,582) x common factors =6 x 1 = 6

LCM(528,582) = ( 528 × 582 ) / 6

LCM(528,582) = 307296 / 6

LCM(528,582) = 51216


Lets's calculate GCF of 27,1041

3 27, 1041
9, 347

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51216/3

Therefore the LCM of Fractions 528/27,582/1041 is 17072

Greatest Common Factor of 27,1041 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,1041 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 1041

List of positive integer factors of 1041 that divides 1041 without a remainder.

1,3,347,1041

Greatest Common Factor

We found the factors 27,1041 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1041 is 3.


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 528/27, 582/1041

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 528/27, 582/1041?

Answer: LCM of Numerators as per given numbers 528/27, 582/1041 is

LCM of Numerators i.e. for 528,582 is 51216

GCF of denominators i.e. for 27,1041 is 3.

Thus, LCM of Fractions is 17072.Finally, LCM of Fractions for 528/27, 582/1041 is 17072.