Least Common Multiple of 61/15, 65/81, 384/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/15, 65/81, 384/843 quickly i.e. 507520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/15, 65/81, 384/843 is 507520.

LCM(61/15, 65/81, 384/843) = 507520

LCM of 61/15, 65/81, 384/843

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 61/15,65/81,384/843

Given numbers are 61/15,65/81,384/843

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 61,65,384

Least Common Multiple of Numerators i.e. LCM of 61,65,384 is 1522560.

GCF of Denominators means GCF of 15,81,843 as per the given fractions.

GCF of 15,81,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,65,384

LCM of Fractions 61/15,65/81,384/843 is 507520

Given numbers has no common factors except 1. So, there LCM is their product i.e 1522560

Least Common Multiple of 61,65,384 with GCF Formula

Least Common Multiple of 61,65,384 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 61,65,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,65,384) = 1

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

GCF(61,65,384) x common factors =1 x 1 = 1

LCM(61,65,384) = ( 61 × 65 × 384 ) / 1

LCM(61,65,384) = 1522560 / 1

LCM(61,65,384) = 1522560


Lets's calculate GCF of 15,81,843

3 15, 81, 843
5, 27, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1522560/3

Therefore the LCM of Fractions 61/15,65/81,384/843 is 507520

Greatest Common Factor of 15,81,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,81,843 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 81

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

1,3,9,27,81

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 15,81,843 . The biggest common factor number is the GCF number.
So the greatest common factor 15,81,843 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 61/15, 65/81, 384/843

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 61/15, 65/81, 384/843?

Answer: LCM of Numerators as per given numbers 61/15, 65/81, 384/843 is

LCM of Numerators i.e. for 61,65,384 is 1522560

GCF of denominators i.e. for 15,81,843 is 3.

Thus, LCM of Fractions is 507520.Finally, LCM of Fractions for 61/15, 65/81, 384/843 is 507520.