Least Common Multiple of 3704/420, 3901/8007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3704/420, 3901/8007 quickly i.e. 14449304/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3704/420, 3901/8007 is 14449304/3.

LCM(3704/420, 3901/8007) = 14449304/3

LCM of 3704/420, 3901/8007

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 3704/420,3901/8007

Given numbers are 3704/420,3901/8007

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 3704,3901

Least Common Multiple of Numerators i.e. LCM of 3704,3901 is 14449304.

GCF of Denominators means GCF of 420,8007 as per the given fractions.

GCF of 420,8007 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3704,3901

LCM of Fractions 3704/420,3901/8007 is 14449304/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 14449304

Least Common Multiple of 3704,3901 with GCF Formula

Least Common Multiple of 3704,3901 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 3704,3901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3704,3901) = 1

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

GCF(3704,3901) x common factors =1 x 1 = 1

LCM(3704,3901) = ( 3704 × 3901 ) / 1

LCM(3704,3901) = 14449304 / 1

LCM(3704,3901) = 14449304


Lets's calculate GCF of 420,8007

3 420, 8007
140, 2669

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14449304/3

Therefore the LCM of Fractions 3704/420,3901/8007 is 14449304/3

Greatest Common Factor of 420,8007 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,8007 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1,3,17,51,157,471,2669,8007

Greatest Common Factor

We found the factors 420,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 420,8007 is 3.


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 3704/420, 3901/8007

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 3704/420, 3901/8007?

Answer: LCM of Numerators as per given numbers 3704/420, 3901/8007 is

LCM of Numerators i.e. for 3704,3901 is 14449304

GCF of denominators i.e. for 420,8007 is 3.

Thus, LCM of Fractions is 14449304/3.Finally, LCM of Fractions for 3704/420, 3901/8007 is 14449304/3.