Least Common Multiple of 544/561, 1170/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/561, 1170/231 quickly i.e. 318240/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/561, 1170/231 is 318240/33.

LCM(544/561, 1170/231) = 318240/33

LCM of 544/561, 1170/231

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 544/561,1170/231

Given numbers are 544/561,1170/231

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 544,1170

Least Common Multiple of Numerators i.e. LCM of 544,1170 is 318240.

GCF of Denominators means GCF of 561,231 as per the given fractions.

GCF of 561,231 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,1170

LCM of Fractions 544/561,1170/231 is 318240/33

2 544, 1170
272, 585

∴ So the LCM of the given numbers is 2 x 272 x 585 = 318240

Least Common Multiple of 544,1170 with GCF Formula

Least Common Multiple of 544,1170 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 544,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,1170) = 2

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

GCF(544,1170) x common factors =2 x 1 = 2

LCM(544,1170) = ( 544 × 1170 ) / 2

LCM(544,1170) = 636480 / 2

LCM(544,1170) = 318240


Lets's calculate GCF of 561,231

3 561, 231
11 187, 77
17, 7

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318240/33

Therefore the LCM of Fractions 544/561,1170/231 is 318240/33

Greatest Common Factor of 561,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,231 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 561,231 . The biggest common factor number is the GCF number.
So the greatest common factor 561,231 is 33.


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 544/561, 1170/231

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 544/561, 1170/231?

Answer: LCM of Numerators as per given numbers 544/561, 1170/231 is

LCM of Numerators i.e. for 544,1170 is 318240

GCF of denominators i.e. for 561,231 is 33.

Thus, LCM of Fractions is 318240/33.Finally, LCM of Fractions for 544/561, 1170/231 is 318240/33.