Least Common Multiple of 67/28, 30/99, 40/23, 48/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/28, 30/99, 40/23, 48/300 quickly i.e. 16080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/28, 30/99, 40/23, 48/300 is 16080.

LCM(67/28, 30/99, 40/23, 48/300) = 16080

LCM of 67/28, 30/99, 40/23, 48/300

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 67/28,30/99,40/23,48/300

Given numbers are 67/28,30/99,40/23,48/300

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 67,30,40,48

Least Common Multiple of Numerators i.e. LCM of 67,30,40,48 is 16080.

GCF of Denominators means GCF of 28,99,23,300 as per the given fractions.

GCF of 28,99,23,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,30,40,48

LCM of Fractions 67/28,30/99,40/23,48/300 is 16080

2 67, 30, 40, 48
2 67, 15, 20, 24
2 67, 15, 10, 12
3 67, 15, 5, 6
5 67, 5, 5, 2
67, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 67 x 1 x 1 x 2 = 16080

Least Common Multiple of 67,30,40,48 with GCF Formula

Least Common Multiple of 67,30,40,48 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 67,30,40,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,30,40,48) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(67,30,40,48) x common factors =1 x 240 = 240

LCM(67,30,40,48) = ( 67 × 30 × 40 × 48 ) / 240

LCM(67,30,40,48) = 3859200 / 240

LCM(67,30,40,48) = 16080


Lets's calculate GCF of 28,99,23,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16080/1

Therefore the LCM of Fractions 67/28,30/99,40/23,48/300 is 16080

Greatest Common Factor of 28,99,23,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,99,23,300 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 23

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

1,23

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 28,99,23,300 . The biggest common factor number is the GCF number.
So the greatest common factor 28,99,23,300 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 67/28, 30/99, 40/23, 48/300

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 67/28, 30/99, 40/23, 48/300?

Answer: LCM of Numerators as per given numbers 67/28, 30/99, 40/23, 48/300 is

LCM of Numerators i.e. for 67,30,40,48 is 16080

GCF of denominators i.e. for 28,99,23,300 is 1.

Thus, LCM of Fractions is 16080.Finally, LCM of Fractions for 67/28, 30/99, 40/23, 48/300 is 16080.