Least Common Multiple of 39/128, 12/509, 301/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/128, 12/509, 301/468 quickly i.e. 46956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/128, 12/509, 301/468 is 46956.

LCM(39/128, 12/509, 301/468) = 46956

LCM of 39/128, 12/509, 301/468

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 39/128,12/509,301/468

Given numbers are 39/128,12/509,301/468

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 39,12,301

Least Common Multiple of Numerators i.e. LCM of 39,12,301 is 46956.

GCF of Denominators means GCF of 128,509,468 as per the given fractions.

GCF of 128,509,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,12,301

LCM of Fractions 39/128,12/509,301/468 is 46956

3 39, 12, 301
13, 4, 301

∴ So the LCM of the given numbers is 3 x 13 x 4 x 301 = 46956

Least Common Multiple of 39,12,301 with GCF Formula

Least Common Multiple of 39,12,301 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 39,12,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,12,301) = 1

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

GCF(39,12,301) x common factors =1 x 3 = 3

LCM(39,12,301) = ( 39 × 12 × 301 ) / 3

LCM(39,12,301) = 140868 / 3

LCM(39,12,301) = 46956


Lets's calculate GCF of 128,509,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46956/1

Therefore the LCM of Fractions 39/128,12/509,301/468 is 46956

Greatest Common Factor of 128,509,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,509,468 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 128,509,468 . The biggest common factor number is the GCF number.
So the greatest common factor 128,509,468 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 39/128, 12/509, 301/468

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 39/128, 12/509, 301/468?

Answer: LCM of Numerators as per given numbers 39/128, 12/509, 301/468 is

LCM of Numerators i.e. for 39,12,301 is 46956

GCF of denominators i.e. for 128,509,468 is 1.

Thus, LCM of Fractions is 46956.Finally, LCM of Fractions for 39/128, 12/509, 301/468 is 46956.