Least Common Multiple of 60/86, 54/18, 311/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/86, 54/18, 311/270 quickly i.e. 83970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/86, 54/18, 311/270 is 83970.

LCM(60/86, 54/18, 311/270) = 83970

LCM of 60/86, 54/18, 311/270

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 60/86,54/18,311/270

Given numbers are 60/86,54/18,311/270

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 60,54,311

Least Common Multiple of Numerators i.e. LCM of 60,54,311 is 167940.

GCF of Denominators means GCF of 86,18,270 as per the given fractions.

GCF of 86,18,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,54,311

LCM of Fractions 60/86,54/18,311/270 is 83970

2 60, 54, 311
3 30, 27, 311
10, 9, 311

∴ So the LCM of the given numbers is 2 x 3 x 10 x 9 x 311 = 167940

Least Common Multiple of 60,54,311 with GCF Formula

Least Common Multiple of 60,54,311 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 60,54,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,54,311) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,54,311) x common factors =1 x 6 = 6

LCM(60,54,311) = ( 60 × 54 × 311 ) / 6

LCM(60,54,311) = 1007640 / 6

LCM(60,54,311) = 167940


Lets's calculate GCF of 86,18,270

2 86, 18, 270
43, 9, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167940/2

Therefore the LCM of Fractions 60/86,54/18,311/270 is 83970

Greatest Common Factor of 86,18,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,18,270 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

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

Greatest Common Factor

We found the factors 86,18,270 . The biggest common factor number is the GCF number.
So the greatest common factor 86,18,270 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 60/86, 54/18, 311/270

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 60/86, 54/18, 311/270?

Answer: LCM of Numerators as per given numbers 60/86, 54/18, 311/270 is

LCM of Numerators i.e. for 60,54,311 is 167940

GCF of denominators i.e. for 86,18,270 is 2.

Thus, LCM of Fractions is 83970.Finally, LCM of Fractions for 60/86, 54/18, 311/270 is 83970.