Least Common Multiple of 81/69, 595/58, 761/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/69, 595/58, 761/487 quickly i.e. 36676395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/69, 595/58, 761/487 is 36676395.

LCM(81/69, 595/58, 761/487) = 36676395

LCM of 81/69, 595/58, 761/487

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 81/69,595/58,761/487

Given numbers are 81/69,595/58,761/487

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 81,595,761

Least Common Multiple of Numerators i.e. LCM of 81,595,761 is 36676395.

GCF of Denominators means GCF of 69,58,487 as per the given fractions.

GCF of 69,58,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,595,761

LCM of Fractions 81/69,595/58,761/487 is 36676395

Given numbers has no common factors except 1. So, there LCM is their product i.e 36676395

Least Common Multiple of 81,595,761 with GCF Formula

Least Common Multiple of 81,595,761 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 81,595,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,595,761) = 1

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

GCF(81,595,761) x common factors =1 x 1 = 1

LCM(81,595,761) = ( 81 × 595 × 761 ) / 1

LCM(81,595,761) = 36676395 / 1

LCM(81,595,761) = 36676395


Lets's calculate GCF of 69,58,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36676395/1

Therefore the LCM of Fractions 81/69,595/58,761/487 is 36676395

Greatest Common Factor of 69,58,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,58,487 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 69,58,487 . The biggest common factor number is the GCF number.
So the greatest common factor 69,58,487 is 1.


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 81/69, 595/58, 761/487

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 81/69, 595/58, 761/487?

Answer: LCM of Numerators as per given numbers 81/69, 595/58, 761/487 is

LCM of Numerators i.e. for 81,595,761 is 36676395

GCF of denominators i.e. for 69,58,487 is 1.

Thus, LCM of Fractions is 36676395.Finally, LCM of Fractions for 81/69, 595/58, 761/487 is 36676395.