Least Common Multiple of 13/528, 7647/3609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/528, 7647/3609 quickly i.e. 33137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/528, 7647/3609 is 33137.

LCM(13/528, 7647/3609) = 33137

LCM of 13/528, 7647/3609

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 13/528,7647/3609

Given numbers are 13/528,7647/3609

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 13,7647

Least Common Multiple of Numerators i.e. LCM of 13,7647 is 99411.

GCF of Denominators means GCF of 528,3609 as per the given fractions.

GCF of 528,3609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,7647

LCM of Fractions 13/528,7647/3609 is 33137

Given numbers has no common factors except 1. So, there LCM is their product i.e 99411

Least Common Multiple of 13,7647 with GCF Formula

Least Common Multiple of 13,7647 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 13,7647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,7647) = 1

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

GCF(13,7647) x common factors =1 x 1 = 1

LCM(13,7647) = ( 13 × 7647 ) / 1

LCM(13,7647) = 99411 / 1

LCM(13,7647) = 99411


Lets's calculate GCF of 528,3609

3 528, 3609
176, 1203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99411/3

Therefore the LCM of Fractions 13/528,7647/3609 is 33137

Greatest Common Factor of 528,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,3609 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 528,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 528,3609 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/528, 7647/3609

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 13/528, 7647/3609?

Answer: LCM of Numerators as per given numbers 13/528, 7647/3609 is

LCM of Numerators i.e. for 13,7647 is 99411

GCF of denominators i.e. for 528,3609 is 3.

Thus, LCM of Fractions is 33137.Finally, LCM of Fractions for 13/528, 7647/3609 is 33137.