Least Common Multiple of 54/23, 85/60, 68/14, 40/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/23, 85/60, 68/14, 40/69 quickly i.e. 18360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/23, 85/60, 68/14, 40/69 is 18360.

LCM(54/23, 85/60, 68/14, 40/69) = 18360

LCM of 54/23, 85/60, 68/14, 40/69

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 54/23,85/60,68/14,40/69

Given numbers are 54/23,85/60,68/14,40/69

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 54,85,68,40

Least Common Multiple of Numerators i.e. LCM of 54,85,68,40 is 18360.

GCF of Denominators means GCF of 23,60,14,69 as per the given fractions.

GCF of 23,60,14,69 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,85,68,40

LCM of Fractions 54/23,85/60,68/14,40/69 is 18360

2 54, 85, 68, 40
2 27, 85, 34, 20
5 27, 85, 17, 10
17 27, 17, 17, 2
27, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 27 x 1 x 1 x 2 = 18360

Least Common Multiple of 54,85,68,40 with GCF Formula

Least Common Multiple of 54,85,68,40 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 54,85,68,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,85,68,40) = 1

common factors(in case of two or more numbers have common factors) = 680

GCF(54,85,68,40) x common factors =1 x 680 = 680

LCM(54,85,68,40) = ( 54 × 85 × 68 × 40 ) / 680

LCM(54,85,68,40) = 12484800 / 680

LCM(54,85,68,40) = 18360


Lets's calculate GCF of 23,60,14,69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18360/1

Therefore the LCM of Fractions 54/23,85/60,68/14,40/69 is 18360

Greatest Common Factor of 23,60,14,69 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,60,14,69 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Greatest Common Factor

We found the factors 23,60,14,69 . The biggest common factor number is the GCF number.
So the greatest common factor 23,60,14,69 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 54/23, 85/60, 68/14, 40/69

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 54/23, 85/60, 68/14, 40/69?

Answer: LCM of Numerators as per given numbers 54/23, 85/60, 68/14, 40/69 is

LCM of Numerators i.e. for 54,85,68,40 is 18360

GCF of denominators i.e. for 23,60,14,69 is 1.

Thus, LCM of Fractions is 18360.Finally, LCM of Fractions for 54/23, 85/60, 68/14, 40/69 is 18360.