Least Common Multiple of 81/561, 27/120, 574/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/561, 27/120, 574/870 quickly i.e. 15498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/561, 27/120, 574/870 is 15498.

LCM(81/561, 27/120, 574/870) = 15498

LCM of 81/561, 27/120, 574/870

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 81/561,27/120,574/870

Given numbers are 81/561,27/120,574/870

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 81,27,574

Least Common Multiple of Numerators i.e. LCM of 81,27,574 is 46494.

GCF of Denominators means GCF of 561,120,870 as per the given fractions.

GCF of 561,120,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,27,574

LCM of Fractions 81/561,27/120,574/870 is 15498

3 81, 27, 574
3 27, 9, 574
3 3, 9, 574
1, 3, 574

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 3 x 574 = 46494

Least Common Multiple of 81,27,574 with GCF Formula

Least Common Multiple of 81,27,574 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 81,27,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,27,574) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(81,27,574) x common factors =1 x 27 = 27

LCM(81,27,574) = ( 81 × 27 × 574 ) / 27

LCM(81,27,574) = 1255338 / 27

LCM(81,27,574) = 46494


Lets's calculate GCF of 561,120,870

3 561, 120, 870
187, 40, 290

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46494/3

Therefore the LCM of Fractions 81/561,27/120,574/870 is 15498

Greatest Common Factor of 561,120,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,120,870 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 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 561,120,870 . The biggest common factor number is the GCF number.
So the greatest common factor 561,120,870 is 3.


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 81/561, 27/120, 574/870

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 81/561, 27/120, 574/870?

Answer: LCM of Numerators as per given numbers 81/561, 27/120, 574/870 is

LCM of Numerators i.e. for 81,27,574 is 46494

GCF of denominators i.e. for 561,120,870 is 3.

Thus, LCM of Fractions is 15498.Finally, LCM of Fractions for 81/561, 27/120, 574/870 is 15498.