Least Common Multiple of 561/14, 565/11, 417/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/14, 565/11, 417/289 quickly i.e. 44058135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/14, 565/11, 417/289 is 44058135.

LCM(561/14, 565/11, 417/289) = 44058135

LCM of 561/14, 565/11, 417/289

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 561/14,565/11,417/289

Given numbers are 561/14,565/11,417/289

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 561,565,417

Least Common Multiple of Numerators i.e. LCM of 561,565,417 is 44058135.

GCF of Denominators means GCF of 14,11,289 as per the given fractions.

GCF of 14,11,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,565,417

LCM of Fractions 561/14,565/11,417/289 is 44058135

3 561, 565, 417
187, 565, 139

∴ So the LCM of the given numbers is 3 x 187 x 565 x 139 = 44058135

Least Common Multiple of 561,565,417 with GCF Formula

Least Common Multiple of 561,565,417 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 561,565,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,565,417) = 1

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

GCF(561,565,417) x common factors =1 x 3 = 3

LCM(561,565,417) = ( 561 × 565 × 417 ) / 3

LCM(561,565,417) = 132174405 / 3

LCM(561,565,417) = 44058135


Lets's calculate GCF of 14,11,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44058135/1

Therefore the LCM of Fractions 561/14,565/11,417/289 is 44058135

Greatest Common Factor of 14,11,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,11,289 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 14,11,289 . The biggest common factor number is the GCF number.
So the greatest common factor 14,11,289 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 561/14, 565/11, 417/289

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 561/14, 565/11, 417/289?

Answer: LCM of Numerators as per given numbers 561/14, 565/11, 417/289 is

LCM of Numerators i.e. for 561,565,417 is 44058135

GCF of denominators i.e. for 14,11,289 is 1.

Thus, LCM of Fractions is 44058135.Finally, LCM of Fractions for 561/14, 565/11, 417/289 is 44058135.