Least Common Multiple of 9671/670, 7429/4407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9671/670, 7429/4407 quickly i.e. 3781361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9671/670, 7429/4407 is 3781361.

LCM(9671/670, 7429/4407) = 3781361

LCM of 9671/670, 7429/4407

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 9671/670,7429/4407

Given numbers are 9671/670,7429/4407

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 9671,7429

Least Common Multiple of Numerators i.e. LCM of 9671,7429 is 3781361.

GCF of Denominators means GCF of 670,4407 as per the given fractions.

GCF of 670,4407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9671,7429

LCM of Fractions 9671/670,7429/4407 is 3781361

19 9671, 7429
509, 391

∴ So the LCM of the given numbers is 19 x 509 x 391 = 3781361

Least Common Multiple of 9671,7429 with GCF Formula

Least Common Multiple of 9671,7429 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 9671,7429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9671,7429) = 19

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

GCF(9671,7429) x common factors =19 x 1 = 19

LCM(9671,7429) = ( 9671 × 7429 ) / 19

LCM(9671,7429) = 71845859 / 19

LCM(9671,7429) = 3781361


Lets's calculate GCF of 670,4407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3781361/1

Therefore the LCM of Fractions 9671/670,7429/4407 is 3781361

Greatest Common Factor of 670,4407 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,4407 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1,3,13,39,113,339,1469,4407

Greatest Common Factor

We found the factors 670,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 670,4407 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 9671/670, 7429/4407

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 9671/670, 7429/4407?

Answer: LCM of Numerators as per given numbers 9671/670, 7429/4407 is

LCM of Numerators i.e. for 9671,7429 is 3781361

GCF of denominators i.e. for 670,4407 is 1.

Thus, LCM of Fractions is 3781361.Finally, LCM of Fractions for 9671/670, 7429/4407 is 3781361.