Least Common Multiple of 13/186, 37/105, 356/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/186, 37/105, 356/810 quickly i.e. 171236/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/186, 37/105, 356/810 is 171236/3.

LCM(13/186, 37/105, 356/810) = 171236/3

LCM of 13/186, 37/105, 356/810

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 13/186,37/105,356/810

Given numbers are 13/186,37/105,356/810

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 13,37,356

Least Common Multiple of Numerators i.e. LCM of 13,37,356 is 171236.

GCF of Denominators means GCF of 186,105,810 as per the given fractions.

GCF of 186,105,810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,37,356

LCM of Fractions 13/186,37/105,356/810 is 171236/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 171236

Least Common Multiple of 13,37,356 with GCF Formula

Least Common Multiple of 13,37,356 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 13,37,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,37,356) = 1

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

GCF(13,37,356) x common factors =1 x 1 = 1

LCM(13,37,356) = ( 13 × 37 × 356 ) / 1

LCM(13,37,356) = 171236 / 1

LCM(13,37,356) = 171236


Lets's calculate GCF of 186,105,810

3 186, 105, 810
62, 35, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171236/3

Therefore the LCM of Fractions 13/186,37/105,356/810 is 171236/3

Greatest Common Factor of 186,105,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,105,810 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 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 186,105,810 . The biggest common factor number is the GCF number.
So the greatest common factor 186,105,810 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 13/186, 37/105, 356/810

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 13/186, 37/105, 356/810?

Answer: LCM of Numerators as per given numbers 13/186, 37/105, 356/810 is

LCM of Numerators i.e. for 13,37,356 is 171236

GCF of denominators i.e. for 186,105,810 is 3.

Thus, LCM of Fractions is 171236/3.Finally, LCM of Fractions for 13/186, 37/105, 356/810 is 171236/3.