Least Common Multiple of 3/24, 7/85, 9/53, 68/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/24, 7/85, 9/53, 68/288 quickly i.e. 4284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/24, 7/85, 9/53, 68/288 is 4284.

LCM(3/24, 7/85, 9/53, 68/288) = 4284

LCM of 3/24, 7/85, 9/53, 68/288

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 3/24,7/85,9/53,68/288

Given numbers are 3/24,7/85,9/53,68/288

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 3,7,9,68

Least Common Multiple of Numerators i.e. LCM of 3,7,9,68 is 4284.

GCF of Denominators means GCF of 24,85,53,288 as per the given fractions.

GCF of 24,85,53,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,7,9,68

LCM of Fractions 3/24,7/85,9/53,68/288 is 4284

3 3, 7, 9, 68
1, 7, 3, 68

∴ So the LCM of the given numbers is 3 x 1 x 7 x 3 x 68 = 4284

Least Common Multiple of 3,7,9,68 with GCF Formula

Least Common Multiple of 3,7,9,68 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 3,7,9,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,7,9,68) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,7,9,68) x common factors =1 x 3 = 3

LCM(3,7,9,68) = ( 3 × 7 × 9 × 68 ) / 3

LCM(3,7,9,68) = 12852 / 3

LCM(3,7,9,68) = 4284


Lets's calculate GCF of 24,85,53,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4284/1

Therefore the LCM of Fractions 3/24,7/85,9/53,68/288 is 4284

Greatest Common Factor of 24,85,53,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,85,53,288 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 24,85,53,288 . The biggest common factor number is the GCF number.
So the greatest common factor 24,85,53,288 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 3/24, 7/85, 9/53, 68/288

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 3/24, 7/85, 9/53, 68/288?

Answer: LCM of Numerators as per given numbers 3/24, 7/85, 9/53, 68/288 is

LCM of Numerators i.e. for 3,7,9,68 is 4284

GCF of denominators i.e. for 24,85,53,288 is 1.

Thus, LCM of Fractions is 4284.Finally, LCM of Fractions for 3/24, 7/85, 9/53, 68/288 is 4284.