Least Common Multiple of 3923/384, 4331/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3923/384, 4331/620 quickly i.e. 16990513/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3923/384, 4331/620 is 16990513/4.

LCM(3923/384, 4331/620) = 16990513/4

LCM of 3923/384, 4331/620

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 3923/384,4331/620

Given numbers are 3923/384,4331/620

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 3923,4331

Least Common Multiple of Numerators i.e. LCM of 3923,4331 is 16990513.

GCF of Denominators means GCF of 384,620 as per the given fractions.

GCF of 384,620 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3923,4331

LCM of Fractions 3923/384,4331/620 is 16990513/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 16990513

Least Common Multiple of 3923,4331 with GCF Formula

Least Common Multiple of 3923,4331 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 3923,4331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3923,4331) = 1

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

GCF(3923,4331) x common factors =1 x 1 = 1

LCM(3923,4331) = ( 3923 × 4331 ) / 1

LCM(3923,4331) = 16990513 / 1

LCM(3923,4331) = 16990513


Lets's calculate GCF of 384,620

2 384, 620
2 192, 310
96, 155

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16990513/4

Therefore the LCM of Fractions 3923/384,4331/620 is 16990513/4

Greatest Common Factor of 384,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,620 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 384,620 . The biggest common factor number is the GCF number.
So the greatest common factor 384,620 is 4.


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 3923/384, 4331/620

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 3923/384, 4331/620?

Answer: LCM of Numerators as per given numbers 3923/384, 4331/620 is

LCM of Numerators i.e. for 3923,4331 is 16990513

GCF of denominators i.e. for 384,620 is 4.

Thus, LCM of Fractions is 16990513/4.Finally, LCM of Fractions for 3923/384, 4331/620 is 16990513/4.