Least Common Multiple of 39/719, 53/382, 405/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/719, 53/382, 405/139 quickly i.e. 279045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/719, 53/382, 405/139 is 279045.

LCM(39/719, 53/382, 405/139) = 279045

LCM of 39/719, 53/382, 405/139

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 39/719,53/382,405/139

Given numbers are 39/719,53/382,405/139

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 39,53,405

Least Common Multiple of Numerators i.e. LCM of 39,53,405 is 279045.

GCF of Denominators means GCF of 719,382,139 as per the given fractions.

GCF of 719,382,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,53,405

LCM of Fractions 39/719,53/382,405/139 is 279045

3 39, 53, 405
13, 53, 135

∴ So the LCM of the given numbers is 3 x 13 x 53 x 135 = 279045

Least Common Multiple of 39,53,405 with GCF Formula

Least Common Multiple of 39,53,405 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 39,53,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,53,405) = 1

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

GCF(39,53,405) x common factors =1 x 3 = 3

LCM(39,53,405) = ( 39 × 53 × 405 ) / 3

LCM(39,53,405) = 837135 / 3

LCM(39,53,405) = 279045


Lets's calculate GCF of 719,382,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279045/1

Therefore the LCM of Fractions 39/719,53/382,405/139 is 279045

Greatest Common Factor of 719,382,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,382,139 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 719,382,139 . The biggest common factor number is the GCF number.
So the greatest common factor 719,382,139 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 39/719, 53/382, 405/139

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 39/719, 53/382, 405/139?

Answer: LCM of Numerators as per given numbers 39/719, 53/382, 405/139 is

LCM of Numerators i.e. for 39,53,405 is 279045

GCF of denominators i.e. for 719,382,139 is 1.

Thus, LCM of Fractions is 279045.Finally, LCM of Fractions for 39/719, 53/382, 405/139 is 279045.