Least Common Multiple of 16/72, 45/76, 23/78, 24/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/72, 45/76, 23/78, 24/324 quickly i.e. 8280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/72, 45/76, 23/78, 24/324 is 8280.

LCM(16/72, 45/76, 23/78, 24/324) = 8280

LCM of 16/72, 45/76, 23/78, 24/324

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 16/72,45/76,23/78,24/324

Given numbers are 16/72,45/76,23/78,24/324

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 16,45,23,24

Least Common Multiple of Numerators i.e. LCM of 16,45,23,24 is 16560.

GCF of Denominators means GCF of 72,76,78,324 as per the given fractions.

GCF of 72,76,78,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,45,23,24

LCM of Fractions 16/72,45/76,23/78,24/324 is 8280

2 16, 45, 23, 24
2 8, 45, 23, 12
2 4, 45, 23, 6
3 2, 45, 23, 3
2, 15, 23, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 15 x 23 x 1 = 16560

Least Common Multiple of 16,45,23,24 with GCF Formula

Least Common Multiple of 16,45,23,24 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 16,45,23,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,45,23,24) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(16,45,23,24) x common factors =1 x 24 = 24

LCM(16,45,23,24) = ( 16 × 45 × 23 × 24 ) / 24

LCM(16,45,23,24) = 397440 / 24

LCM(16,45,23,24) = 16560


Lets's calculate GCF of 72,76,78,324

2 72, 76, 78, 324
36, 38, 39, 162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16560/2

Therefore the LCM of Fractions 16/72,45/76,23/78,24/324 is 8280

Greatest Common Factor of 72,76,78,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,76,78,324 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 72,76,78,324 . The biggest common factor number is the GCF number.
So the greatest common factor 72,76,78,324 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 16/72, 45/76, 23/78, 24/324

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 16/72, 45/76, 23/78, 24/324?

Answer: LCM of Numerators as per given numbers 16/72, 45/76, 23/78, 24/324 is

LCM of Numerators i.e. for 16,45,23,24 is 16560

GCF of denominators i.e. for 72,76,78,324 is 2.

Thus, LCM of Fractions is 8280.Finally, LCM of Fractions for 16/72, 45/76, 23/78, 24/324 is 8280.