Least Common Multiple of 27/186, 77/340, 561/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/186, 77/340, 561/520 quickly i.e. 35343/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/186, 77/340, 561/520 is 35343/2.

LCM(27/186, 77/340, 561/520) = 35343/2

LCM of 27/186, 77/340, 561/520

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 27/186,77/340,561/520

Given numbers are 27/186,77/340,561/520

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 27,77,561

Least Common Multiple of Numerators i.e. LCM of 27,77,561 is 35343.

GCF of Denominators means GCF of 186,340,520 as per the given fractions.

GCF of 186,340,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,77,561

LCM of Fractions 27/186,77/340,561/520 is 35343/2

3 27, 77, 561
11 9, 77, 187
9, 7, 17

∴ So the LCM of the given numbers is 3 x 11 x 9 x 7 x 17 = 35343

Least Common Multiple of 27,77,561 with GCF Formula

Least Common Multiple of 27,77,561 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 27,77,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,77,561) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(27,77,561) x common factors =1 x 33 = 33

LCM(27,77,561) = ( 27 × 77 × 561 ) / 33

LCM(27,77,561) = 1166319 / 33

LCM(27,77,561) = 35343


Lets's calculate GCF of 186,340,520

2 186, 340, 520
93, 170, 260

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35343/2

Therefore the LCM of Fractions 27/186,77/340,561/520 is 35343/2

Greatest Common Factor of 186,340,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,340,520 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 186,340,520 . The biggest common factor number is the GCF number.
So the greatest common factor 186,340,520 is 2.


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 27/186, 77/340, 561/520

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 27/186, 77/340, 561/520?

Answer: LCM of Numerators as per given numbers 27/186, 77/340, 561/520 is

LCM of Numerators i.e. for 27,77,561 is 35343

GCF of denominators i.e. for 186,340,520 is 2.

Thus, LCM of Fractions is 35343/2.Finally, LCM of Fractions for 27/186, 77/340, 561/520 is 35343/2.