Least Common Multiple of 561/51, 143/12, 289/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/51, 143/12, 289/61 quickly i.e. 123981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/51, 143/12, 289/61 is 123981.

LCM(561/51, 143/12, 289/61) = 123981

LCM of 561/51, 143/12, 289/61

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 561/51,143/12,289/61

Given numbers are 561/51,143/12,289/61

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 561,143,289

Least Common Multiple of Numerators i.e. LCM of 561,143,289 is 123981.

GCF of Denominators means GCF of 51,12,61 as per the given fractions.

GCF of 51,12,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,143,289

LCM of Fractions 561/51,143/12,289/61 is 123981

11 561, 143, 289
17 51, 13, 289
3, 13, 17

∴ So the LCM of the given numbers is 11 x 17 x 3 x 13 x 17 = 123981

Least Common Multiple of 561,143,289 with GCF Formula

Least Common Multiple of 561,143,289 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 561,143,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,143,289) = 1

common factors(in case of two or more numbers have common factors) = 187

GCF(561,143,289) x common factors =1 x 187 = 187

LCM(561,143,289) = ( 561 × 143 × 289 ) / 187

LCM(561,143,289) = 23184447 / 187

LCM(561,143,289) = 123981


Lets's calculate GCF of 51,12,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123981/1

Therefore the LCM of Fractions 561/51,143/12,289/61 is 123981

Greatest Common Factor of 51,12,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,12,61 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 51,12,61 . The biggest common factor number is the GCF number.
So the greatest common factor 51,12,61 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 561/51, 143/12, 289/61

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 561/51, 143/12, 289/61?

Answer: LCM of Numerators as per given numbers 561/51, 143/12, 289/61 is

LCM of Numerators i.e. for 561,143,289 is 123981

GCF of denominators i.e. for 51,12,61 is 1.

Thus, LCM of Fractions is 123981.Finally, LCM of Fractions for 561/51, 143/12, 289/61 is 123981.