Least Common Multiple of 69/89, 39/59, 516/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/89, 39/59, 516/564 quickly i.e. 154284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/89, 39/59, 516/564 is 154284.

LCM(69/89, 39/59, 516/564) = 154284

LCM of 69/89, 39/59, 516/564

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 69/89,39/59,516/564

Given numbers are 69/89,39/59,516/564

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 69,39,516

Least Common Multiple of Numerators i.e. LCM of 69,39,516 is 154284.

GCF of Denominators means GCF of 89,59,564 as per the given fractions.

GCF of 89,59,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,39,516

LCM of Fractions 69/89,39/59,516/564 is 154284

3 69, 39, 516
23, 13, 172

∴ So the LCM of the given numbers is 3 x 23 x 13 x 172 = 154284

Least Common Multiple of 69,39,516 with GCF Formula

Least Common Multiple of 69,39,516 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 69,39,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,39,516) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,39,516) x common factors =3 x 3 = 9

LCM(69,39,516) = ( 69 × 39 × 516 ) / 9

LCM(69,39,516) = 1388556 / 9

LCM(69,39,516) = 154284


Lets's calculate GCF of 89,59,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154284/1

Therefore the LCM of Fractions 69/89,39/59,516/564 is 154284

Greatest Common Factor of 89,59,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,59,564 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 89,59,564 . The biggest common factor number is the GCF number.
So the greatest common factor 89,59,564 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 69/89, 39/59, 516/564

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 69/89, 39/59, 516/564?

Answer: LCM of Numerators as per given numbers 69/89, 39/59, 516/564 is

LCM of Numerators i.e. for 69,39,516 is 154284

GCF of denominators i.e. for 89,59,564 is 1.

Thus, LCM of Fractions is 154284.Finally, LCM of Fractions for 69/89, 39/59, 516/564 is 154284.