Least Common Multiple of 560/81, 968/56, 171/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/81, 968/56, 171/186 quickly i.e. 11586960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/81, 968/56, 171/186 is 11586960.

LCM(560/81, 968/56, 171/186) = 11586960

LCM of 560/81, 968/56, 171/186

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 560/81,968/56,171/186

Given numbers are 560/81,968/56,171/186

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 560,968,171

Least Common Multiple of Numerators i.e. LCM of 560,968,171 is 11586960.

GCF of Denominators means GCF of 81,56,186 as per the given fractions.

GCF of 81,56,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,968,171

LCM of Fractions 560/81,968/56,171/186 is 11586960

2 560, 968, 171
2 280, 484, 171
2 140, 242, 171
70, 121, 171

∴ So the LCM of the given numbers is 2 x 2 x 2 x 70 x 121 x 171 = 11586960

Least Common Multiple of 560,968,171 with GCF Formula

Least Common Multiple of 560,968,171 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 560,968,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,968,171) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(560,968,171) x common factors =1 x 8 = 8

LCM(560,968,171) = ( 560 × 968 × 171 ) / 8

LCM(560,968,171) = 92695680 / 8

LCM(560,968,171) = 11586960


Lets's calculate GCF of 81,56,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11586960/1

Therefore the LCM of Fractions 560/81,968/56,171/186 is 11586960

Greatest Common Factor of 81,56,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,56,186 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 186

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

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

Greatest Common Factor

We found the factors 81,56,186 . The biggest common factor number is the GCF number.
So the greatest common factor 81,56,186 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 560/81, 968/56, 171/186

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 560/81, 968/56, 171/186?

Answer: LCM of Numerators as per given numbers 560/81, 968/56, 171/186 is

LCM of Numerators i.e. for 560,968,171 is 11586960

GCF of denominators i.e. for 81,56,186 is 1.

Thus, LCM of Fractions is 11586960.Finally, LCM of Fractions for 560/81, 968/56, 171/186 is 11586960.