Least Common Multiple of 501/81, 747/7785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/81, 747/7785 quickly i.e. 13861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/81, 747/7785 is 13861.

LCM(501/81, 747/7785) = 13861

LCM of 501/81, 747/7785

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 501/81,747/7785

Given numbers are 501/81,747/7785

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 501,747

Least Common Multiple of Numerators i.e. LCM of 501,747 is 124749.

GCF of Denominators means GCF of 81,7785 as per the given fractions.

GCF of 81,7785 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,747

LCM of Fractions 501/81,747/7785 is 13861

3 501, 747
167, 249

∴ So the LCM of the given numbers is 3 x 167 x 249 = 124749

Least Common Multiple of 501,747 with GCF Formula

Least Common Multiple of 501,747 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 501,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,747) = 3

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

GCF(501,747) x common factors =3 x 1 = 3

LCM(501,747) = ( 501 × 747 ) / 3

LCM(501,747) = 374247 / 3

LCM(501,747) = 124749


Lets's calculate GCF of 81,7785

3 81, 7785
3 27, 2595
9, 865

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124749/9

Therefore the LCM of Fractions 501/81,747/7785 is 13861

Greatest Common Factor of 81,7785 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,7785 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 7785

List of positive integer factors of 7785 that divides 7785 without a remainder.

1,3,5,9,15,45,173,519,865,1557,2595,7785

Greatest Common Factor

We found the factors 81,7785 . The biggest common factor number is the GCF number.
So the greatest common factor 81,7785 is 9.


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 501/81, 747/7785

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 501/81, 747/7785?

Answer: LCM of Numerators as per given numbers 501/81, 747/7785 is

LCM of Numerators i.e. for 501,747 is 124749

GCF of denominators i.e. for 81,7785 is 9.

Thus, LCM of Fractions is 13861.Finally, LCM of Fractions for 501/81, 747/7785 is 13861.