Least Common Multiple of 39/32, 37/789, 341/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/32, 37/789, 341/716 quickly i.e. 492063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/32, 37/789, 341/716 is 492063.

LCM(39/32, 37/789, 341/716) = 492063

LCM of 39/32, 37/789, 341/716

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 39/32,37/789,341/716

Given numbers are 39/32,37/789,341/716

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 39,37,341

Least Common Multiple of Numerators i.e. LCM of 39,37,341 is 492063.

GCF of Denominators means GCF of 32,789,716 as per the given fractions.

GCF of 32,789,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,37,341

LCM of Fractions 39/32,37/789,341/716 is 492063

Given numbers has no common factors except 1. So, there LCM is their product i.e 492063

Least Common Multiple of 39,37,341 with GCF Formula

Least Common Multiple of 39,37,341 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 39,37,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,37,341) = 1

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

GCF(39,37,341) x common factors =1 x 1 = 1

LCM(39,37,341) = ( 39 × 37 × 341 ) / 1

LCM(39,37,341) = 492063 / 1

LCM(39,37,341) = 492063


Lets's calculate GCF of 32,789,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492063/1

Therefore the LCM of Fractions 39/32,37/789,341/716 is 492063

Greatest Common Factor of 32,789,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,789,716 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 32,789,716 . The biggest common factor number is the GCF number.
So the greatest common factor 32,789,716 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/32, 37/789, 341/716

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 39/32, 37/789, 341/716?

Answer: LCM of Numerators as per given numbers 39/32, 37/789, 341/716 is

LCM of Numerators i.e. for 39,37,341 is 492063

GCF of denominators i.e. for 32,789,716 is 1.

Thus, LCM of Fractions is 492063.Finally, LCM of Fractions for 39/32, 37/789, 341/716 is 492063.