Least Common Multiple of 67/72, 238/24, 269/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/72, 238/24, 269/585 quickly i.e. 4289474/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/72, 238/24, 269/585 is 4289474/3.

LCM(67/72, 238/24, 269/585) = 4289474/3

LCM of 67/72, 238/24, 269/585

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 67/72,238/24,269/585

Given numbers are 67/72,238/24,269/585

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 67,238,269

Least Common Multiple of Numerators i.e. LCM of 67,238,269 is 4289474.

GCF of Denominators means GCF of 72,24,585 as per the given fractions.

GCF of 72,24,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,238,269

LCM of Fractions 67/72,238/24,269/585 is 4289474/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4289474

Least Common Multiple of 67,238,269 with GCF Formula

Least Common Multiple of 67,238,269 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 67,238,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,238,269) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,238,269) x common factors =1 x 1 = 1

LCM(67,238,269) = ( 67 × 238 × 269 ) / 1

LCM(67,238,269) = 4289474 / 1

LCM(67,238,269) = 4289474


Lets's calculate GCF of 72,24,585

3 72, 24, 585
24, 8, 195

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4289474/3

Therefore the LCM of Fractions 67/72,238/24,269/585 is 4289474/3

Greatest Common Factor of 72,24,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,24,585 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 24

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

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

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 72,24,585 . The biggest common factor number is the GCF number.
So the greatest common factor 72,24,585 is 3.


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 67/72, 238/24, 269/585

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 67/72, 238/24, 269/585?

Answer: LCM of Numerators as per given numbers 67/72, 238/24, 269/585 is

LCM of Numerators i.e. for 67,238,269 is 4289474

GCF of denominators i.e. for 72,24,585 is 3.

Thus, LCM of Fractions is 4289474/3.Finally, LCM of Fractions for 67/72, 238/24, 269/585 is 4289474/3.