Least Common Multiple of 69/385, 24/264, 239/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/385, 24/264, 239/390 quickly i.e. 131928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/385, 24/264, 239/390 is 131928.

LCM(69/385, 24/264, 239/390) = 131928

LCM of 69/385, 24/264, 239/390

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 69/385,24/264,239/390

Given numbers are 69/385,24/264,239/390

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 69,24,239

Least Common Multiple of Numerators i.e. LCM of 69,24,239 is 131928.

GCF of Denominators means GCF of 385,264,390 as per the given fractions.

GCF of 385,264,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,24,239

LCM of Fractions 69/385,24/264,239/390 is 131928

3 69, 24, 239
23, 8, 239

∴ So the LCM of the given numbers is 3 x 23 x 8 x 239 = 131928

Least Common Multiple of 69,24,239 with GCF Formula

Least Common Multiple of 69,24,239 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 69,24,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,24,239) = 1

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

GCF(69,24,239) x common factors =1 x 3 = 3

LCM(69,24,239) = ( 69 × 24 × 239 ) / 3

LCM(69,24,239) = 395784 / 3

LCM(69,24,239) = 131928


Lets's calculate GCF of 385,264,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131928/1

Therefore the LCM of Fractions 69/385,24/264,239/390 is 131928

Greatest Common Factor of 385,264,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,264,390 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 385,264,390 . The biggest common factor number is the GCF number.
So the greatest common factor 385,264,390 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 69/385, 24/264, 239/390

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 69/385, 24/264, 239/390?

Answer: LCM of Numerators as per given numbers 69/385, 24/264, 239/390 is

LCM of Numerators i.e. for 69,24,239 is 131928

GCF of denominators i.e. for 385,264,390 is 1.

Thus, LCM of Fractions is 131928.Finally, LCM of Fractions for 69/385, 24/264, 239/390 is 131928.