Least Common Multiple of 39/46, 355/11, 355/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/46, 355/11, 355/771 quickly i.e. 13845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/46, 355/11, 355/771 is 13845.

LCM(39/46, 355/11, 355/771) = 13845

LCM of 39/46, 355/11, 355/771

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 39/46,355/11,355/771

Given numbers are 39/46,355/11,355/771

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 39,355,355

Least Common Multiple of Numerators i.e. LCM of 39,355,355 is 13845.

GCF of Denominators means GCF of 46,11,771 as per the given fractions.

GCF of 46,11,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,355,355

LCM of Fractions 39/46,355/11,355/771 is 13845

5 39, 355, 355
71 39, 71, 71
39, 1, 1

∴ So the LCM of the given numbers is 5 x 71 x 39 x 1 x 1 = 13845

Least Common Multiple of 39,355,355 with GCF Formula

Least Common Multiple of 39,355,355 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 39,355,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,355,355) = 1

common factors(in case of two or more numbers have common factors) = 355

GCF(39,355,355) x common factors =1 x 355 = 355

LCM(39,355,355) = ( 39 × 355 × 355 ) / 355

LCM(39,355,355) = 4914975 / 355

LCM(39,355,355) = 13845


Lets's calculate GCF of 46,11,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13845/1

Therefore the LCM of Fractions 39/46,355/11,355/771 is 13845

Greatest Common Factor of 46,11,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,11,771 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 46,11,771 . The biggest common factor number is the GCF number.
So the greatest common factor 46,11,771 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 39/46, 355/11, 355/771

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 39/46, 355/11, 355/771?

Answer: LCM of Numerators as per given numbers 39/46, 355/11, 355/771 is

LCM of Numerators i.e. for 39,355,355 is 13845

GCF of denominators i.e. for 46,11,771 is 1.

Thus, LCM of Fractions is 13845.Finally, LCM of Fractions for 39/46, 355/11, 355/771 is 13845.