Least Common Multiple of 431/39, 704/7687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/39, 704/7687 quickly i.e. 303424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/39, 704/7687 is 303424.

LCM(431/39, 704/7687) = 303424

LCM of 431/39, 704/7687

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 431/39,704/7687

Given numbers are 431/39,704/7687

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 431,704

Least Common Multiple of Numerators i.e. LCM of 431,704 is 303424.

GCF of Denominators means GCF of 39,7687 as per the given fractions.

GCF of 39,7687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,704

LCM of Fractions 431/39,704/7687 is 303424

Given numbers has no common factors except 1. So, there LCM is their product i.e 303424

Least Common Multiple of 431,704 with GCF Formula

Least Common Multiple of 431,704 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 431,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,704) = 1

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

GCF(431,704) x common factors =1 x 1 = 1

LCM(431,704) = ( 431 × 704 ) / 1

LCM(431,704) = 303424 / 1

LCM(431,704) = 303424


Lets's calculate GCF of 39,7687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303424/1

Therefore the LCM of Fractions 431/39,704/7687 is 303424

Greatest Common Factor of 39,7687 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,7687 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1,7687

Greatest Common Factor

We found the factors 39,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 39,7687 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 431/39, 704/7687

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 431/39, 704/7687?

Answer: LCM of Numerators as per given numbers 431/39, 704/7687 is

LCM of Numerators i.e. for 431,704 is 303424

GCF of denominators i.e. for 39,7687 is 1.

Thus, LCM of Fractions is 303424.Finally, LCM of Fractions for 431/39, 704/7687 is 303424.