Least Common Multiple of 541/360, 8527/6644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 541/360, 8527/6644 quickly i.e. 4613107/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 541/360, 8527/6644 is 4613107/4.

LCM(541/360, 8527/6644) = 4613107/4

LCM of 541/360, 8527/6644

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 541/360,8527/6644

Given numbers are 541/360,8527/6644

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 541,8527

Least Common Multiple of Numerators i.e. LCM of 541,8527 is 4613107.

GCF of Denominators means GCF of 360,6644 as per the given fractions.

GCF of 360,6644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 541,8527

LCM of Fractions 541/360,8527/6644 is 4613107/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4613107

Least Common Multiple of 541,8527 with GCF Formula

Least Common Multiple of 541,8527 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 541,8527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,8527) = 1

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

GCF(541,8527) x common factors =1 x 1 = 1

LCM(541,8527) = ( 541 × 8527 ) / 1

LCM(541,8527) = 4613107 / 1

LCM(541,8527) = 4613107


Lets's calculate GCF of 360,6644

2 360, 6644
2 180, 3322
90, 1661

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4613107/4

Therefore the LCM of Fractions 541/360,8527/6644 is 4613107/4

Greatest Common Factor of 360,6644 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,6644 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 6644

List of positive integer factors of 6644 that divides 6644 without a remainder.

1,2,4,11,22,44,151,302,604,1661,3322,6644

Greatest Common Factor

We found the factors 360,6644 . The biggest common factor number is the GCF number.
So the greatest common factor 360,6644 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 541/360, 8527/6644

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 541/360, 8527/6644?

Answer: LCM of Numerators as per given numbers 541/360, 8527/6644 is

LCM of Numerators i.e. for 541,8527 is 4613107

GCF of denominators i.e. for 360,6644 is 4.

Thus, LCM of Fractions is 4613107/4.Finally, LCM of Fractions for 541/360, 8527/6644 is 4613107/4.