Least Common Multiple of 27/939, 409/768, 955/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/939, 409/768, 955/360 quickly i.e. 3515355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/939, 409/768, 955/360 is 3515355.

LCM(27/939, 409/768, 955/360) = 3515355

LCM of 27/939, 409/768, 955/360

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 27/939,409/768,955/360

Given numbers are 27/939,409/768,955/360

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 27,409,955

Least Common Multiple of Numerators i.e. LCM of 27,409,955 is 10546065.

GCF of Denominators means GCF of 939,768,360 as per the given fractions.

GCF of 939,768,360 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,409,955

LCM of Fractions 27/939,409/768,955/360 is 3515355

Given numbers has no common factors except 1. So, there LCM is their product i.e 10546065

Least Common Multiple of 27,409,955 with GCF Formula

Least Common Multiple of 27,409,955 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 27,409,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,409,955) = 1

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

GCF(27,409,955) x common factors =1 x 1 = 1

LCM(27,409,955) = ( 27 × 409 × 955 ) / 1

LCM(27,409,955) = 10546065 / 1

LCM(27,409,955) = 10546065


Lets's calculate GCF of 939,768,360

3 939, 768, 360
313, 256, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10546065/3

Therefore the LCM of Fractions 27/939,409/768,955/360 is 3515355

Greatest Common Factor of 939,768,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,768,360 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 939,768,360 . The biggest common factor number is the GCF number.
So the greatest common factor 939,768,360 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 27/939, 409/768, 955/360

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 27/939, 409/768, 955/360?

Answer: LCM of Numerators as per given numbers 27/939, 409/768, 955/360 is

LCM of Numerators i.e. for 27,409,955 is 10546065

GCF of denominators i.e. for 939,768,360 is 3.

Thus, LCM of Fractions is 3515355.Finally, LCM of Fractions for 27/939, 409/768, 955/360 is 3515355.