Least Common Multiple of 4671/706, 4009/7892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4671/706, 4009/7892 quickly i.e. 18726039/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4671/706, 4009/7892 is 18726039/2.

LCM(4671/706, 4009/7892) = 18726039/2

LCM of 4671/706, 4009/7892

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 4671/706,4009/7892

Given numbers are 4671/706,4009/7892

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 4671,4009

Least Common Multiple of Numerators i.e. LCM of 4671,4009 is 18726039.

GCF of Denominators means GCF of 706,7892 as per the given fractions.

GCF of 706,7892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4671,4009

LCM of Fractions 4671/706,4009/7892 is 18726039/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 18726039

Least Common Multiple of 4671,4009 with GCF Formula

Least Common Multiple of 4671,4009 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 4671,4009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4671,4009) = 1

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

GCF(4671,4009) x common factors =1 x 1 = 1

LCM(4671,4009) = ( 4671 × 4009 ) / 1

LCM(4671,4009) = 18726039 / 1

LCM(4671,4009) = 18726039


Lets's calculate GCF of 706,7892

2 706, 7892
353, 3946

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18726039/2

Therefore the LCM of Fractions 4671/706,4009/7892 is 18726039/2

Greatest Common Factor of 706,7892 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,7892 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 7892

List of positive integer factors of 7892 that divides 7892 without a remainder.

1,2,4,1973,3946,7892

Greatest Common Factor

We found the factors 706,7892 . The biggest common factor number is the GCF number.
So the greatest common factor 706,7892 is 2.


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 4671/706, 4009/7892

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 4671/706, 4009/7892?

Answer: LCM of Numerators as per given numbers 4671/706, 4009/7892 is

LCM of Numerators i.e. for 4671,4009 is 18726039

GCF of denominators i.e. for 706,7892 is 2.

Thus, LCM of Fractions is 18726039/2.Finally, LCM of Fractions for 4671/706, 4009/7892 is 18726039/2.