Least Common Multiple of 24/32, 40/33, 54/67, 78/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/32, 40/33, 54/67, 78/173 quickly i.e. 14040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/32, 40/33, 54/67, 78/173 is 14040.

LCM(24/32, 40/33, 54/67, 78/173) = 14040

LCM of 24/32, 40/33, 54/67, 78/173

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 24/32,40/33,54/67,78/173

Given numbers are 24/32,40/33,54/67,78/173

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 24,40,54,78

Least Common Multiple of Numerators i.e. LCM of 24,40,54,78 is 14040.

GCF of Denominators means GCF of 32,33,67,173 as per the given fractions.

GCF of 32,33,67,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,40,54,78

LCM of Fractions 24/32,40/33,54/67,78/173 is 14040

2 24, 40, 54, 78
2 12, 20, 27, 39
2 6, 10, 27, 39
3 3, 5, 27, 39
1, 5, 9, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 5 x 9 x 13 = 14040

Least Common Multiple of 24,40,54,78 with GCF Formula

Least Common Multiple of 24,40,54,78 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 24,40,54,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,40,54,78) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(24,40,54,78) x common factors =2 x 144 = 288

LCM(24,40,54,78) = ( 24 × 40 × 54 × 78 ) / 288

LCM(24,40,54,78) = 4043520 / 288

LCM(24,40,54,78) = 14040


Lets's calculate GCF of 32,33,67,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14040/1

Therefore the LCM of Fractions 24/32,40/33,54/67,78/173 is 14040

Greatest Common Factor of 32,33,67,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,33,67,173 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 32,33,67,173 . The biggest common factor number is the GCF number.
So the greatest common factor 32,33,67,173 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 24/32, 40/33, 54/67, 78/173

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 24/32, 40/33, 54/67, 78/173?

Answer: LCM of Numerators as per given numbers 24/32, 40/33, 54/67, 78/173 is

LCM of Numerators i.e. for 24,40,54,78 is 14040

GCF of denominators i.e. for 32,33,67,173 is 1.

Thus, LCM of Fractions is 14040.Finally, LCM of Fractions for 24/32, 40/33, 54/67, 78/173 is 14040.