Least Common Multiple of 67/240, 15/265, 230/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/240, 15/265, 230/290 quickly i.e. 9246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/240, 15/265, 230/290 is 9246.

LCM(67/240, 15/265, 230/290) = 9246

LCM of 67/240, 15/265, 230/290

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 67/240,15/265,230/290

Given numbers are 67/240,15/265,230/290

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 67,15,230

Least Common Multiple of Numerators i.e. LCM of 67,15,230 is 46230.

GCF of Denominators means GCF of 240,265,290 as per the given fractions.

GCF of 240,265,290 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,15,230

LCM of Fractions 67/240,15/265,230/290 is 9246

5 67, 15, 230
67, 3, 46

∴ So the LCM of the given numbers is 5 x 67 x 3 x 46 = 46230

Least Common Multiple of 67,15,230 with GCF Formula

Least Common Multiple of 67,15,230 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 67,15,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,15,230) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(67,15,230) x common factors =1 x 5 = 5

LCM(67,15,230) = ( 67 × 15 × 230 ) / 5

LCM(67,15,230) = 231150 / 5

LCM(67,15,230) = 46230


Lets's calculate GCF of 240,265,290

5 240, 265, 290
48, 53, 58

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46230/5

Therefore the LCM of Fractions 67/240,15/265,230/290 is 9246

Greatest Common Factor of 240,265,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,265,290 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 240,265,290 . The biggest common factor number is the GCF number.
So the greatest common factor 240,265,290 is 5.


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 67/240, 15/265, 230/290

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 67/240, 15/265, 230/290?

Answer: LCM of Numerators as per given numbers 67/240, 15/265, 230/290 is

LCM of Numerators i.e. for 67,15,230 is 46230

GCF of denominators i.e. for 240,265,290 is 5.

Thus, LCM of Fractions is 9246.Finally, LCM of Fractions for 67/240, 15/265, 230/290 is 9246.