Least Common Multiple of 15/85, 66/39, 584/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/85, 66/39, 584/272 quickly i.e. 96360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/85, 66/39, 584/272 is 96360.

LCM(15/85, 66/39, 584/272) = 96360

LCM of 15/85, 66/39, 584/272

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 15/85,66/39,584/272

Given numbers are 15/85,66/39,584/272

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 15,66,584

Least Common Multiple of Numerators i.e. LCM of 15,66,584 is 96360.

GCF of Denominators means GCF of 85,39,272 as per the given fractions.

GCF of 85,39,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,66,584

LCM of Fractions 15/85,66/39,584/272 is 96360

2 15, 66, 584
3 15, 33, 292
5, 11, 292

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 292 = 96360

Least Common Multiple of 15,66,584 with GCF Formula

Least Common Multiple of 15,66,584 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 15,66,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,66,584) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(15,66,584) x common factors =1 x 6 = 6

LCM(15,66,584) = ( 15 × 66 × 584 ) / 6

LCM(15,66,584) = 578160 / 6

LCM(15,66,584) = 96360


Lets's calculate GCF of 85,39,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96360/1

Therefore the LCM of Fractions 15/85,66/39,584/272 is 96360

Greatest Common Factor of 85,39,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,39,272 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 85,39,272 . The biggest common factor number is the GCF number.
So the greatest common factor 85,39,272 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 15/85, 66/39, 584/272

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 15/85, 66/39, 584/272?

Answer: LCM of Numerators as per given numbers 15/85, 66/39, 584/272 is

LCM of Numerators i.e. for 15,66,584 is 96360

GCF of denominators i.e. for 85,39,272 is 1.

Thus, LCM of Fractions is 96360.Finally, LCM of Fractions for 15/85, 66/39, 584/272 is 96360.