Least Common Multiple of 390/87, 973/81, 613/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/87, 973/81, 613/569 quickly i.e. 232615110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/87, 973/81, 613/569 is 232615110.

LCM(390/87, 973/81, 613/569) = 232615110

LCM of 390/87, 973/81, 613/569

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 390/87,973/81,613/569

Given numbers are 390/87,973/81,613/569

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 390,973,613

Least Common Multiple of Numerators i.e. LCM of 390,973,613 is 232615110.

GCF of Denominators means GCF of 87,81,569 as per the given fractions.

GCF of 87,81,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,973,613

LCM of Fractions 390/87,973/81,613/569 is 232615110

Given numbers has no common factors except 1. So, there LCM is their product i.e 232615110

Least Common Multiple of 390,973,613 with GCF Formula

Least Common Multiple of 390,973,613 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 390,973,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,973,613) = 1

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

GCF(390,973,613) x common factors =1 x 1 = 1

LCM(390,973,613) = ( 390 × 973 × 613 ) / 1

LCM(390,973,613) = 232615110 / 1

LCM(390,973,613) = 232615110


Lets's calculate GCF of 87,81,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232615110/1

Therefore the LCM of Fractions 390/87,973/81,613/569 is 232615110

Greatest Common Factor of 87,81,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,81,569 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 81

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

1,3,9,27,81

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 87,81,569 . The biggest common factor number is the GCF number.
So the greatest common factor 87,81,569 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 390/87, 973/81, 613/569

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 390/87, 973/81, 613/569?

Answer: LCM of Numerators as per given numbers 390/87, 973/81, 613/569 is

LCM of Numerators i.e. for 390,973,613 is 232615110

GCF of denominators i.e. for 87,81,569 is 1.

Thus, LCM of Fractions is 232615110.Finally, LCM of Fractions for 390/87, 973/81, 613/569 is 232615110.