Least Common Multiple of 1513/539, 5806/5767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1513/539, 5806/5767 quickly i.e. 8784478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1513/539, 5806/5767 is 8784478.

LCM(1513/539, 5806/5767) = 8784478

LCM of 1513/539, 5806/5767

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 1513/539,5806/5767

Given numbers are 1513/539,5806/5767

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 1513,5806

Least Common Multiple of Numerators i.e. LCM of 1513,5806 is 8784478.

GCF of Denominators means GCF of 539,5767 as per the given fractions.

GCF of 539,5767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1513,5806

LCM of Fractions 1513/539,5806/5767 is 8784478

Given numbers has no common factors except 1. So, there LCM is their product i.e 8784478

Least Common Multiple of 1513,5806 with GCF Formula

Least Common Multiple of 1513,5806 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 1513,5806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1513,5806) = 1

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

GCF(1513,5806) x common factors =1 x 1 = 1

LCM(1513,5806) = ( 1513 × 5806 ) / 1

LCM(1513,5806) = 8784478 / 1

LCM(1513,5806) = 8784478


Lets's calculate GCF of 539,5767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8784478/1

Therefore the LCM of Fractions 1513/539,5806/5767 is 8784478

Greatest Common Factor of 539,5767 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,5767 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 5767

List of positive integer factors of 5767 that divides 5767 without a remainder.

1,73,79,5767

Greatest Common Factor

We found the factors 539,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 539,5767 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1513/539, 5806/5767

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 1513/539, 5806/5767?

Answer: LCM of Numerators as per given numbers 1513/539, 5806/5767 is

LCM of Numerators i.e. for 1513,5806 is 8784478

GCF of denominators i.e. for 539,5767 is 1.

Thus, LCM of Fractions is 8784478.Finally, LCM of Fractions for 1513/539, 5806/5767 is 8784478.