Least Common Multiple of 4339/384, 2130/2820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4339/384, 2130/2820 quickly i.e. 9242070/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4339/384, 2130/2820 is 9242070/12.

LCM(4339/384, 2130/2820) = 9242070/12

LCM of 4339/384, 2130/2820

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 4339/384,2130/2820

Given numbers are 4339/384,2130/2820

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 4339,2130

Least Common Multiple of Numerators i.e. LCM of 4339,2130 is 9242070.

GCF of Denominators means GCF of 384,2820 as per the given fractions.

GCF of 384,2820 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4339,2130

LCM of Fractions 4339/384,2130/2820 is 9242070/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 9242070

Least Common Multiple of 4339,2130 with GCF Formula

Least Common Multiple of 4339,2130 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 4339,2130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4339,2130) = 1

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

GCF(4339,2130) x common factors =1 x 1 = 1

LCM(4339,2130) = ( 4339 × 2130 ) / 1

LCM(4339,2130) = 9242070 / 1

LCM(4339,2130) = 9242070


Lets's calculate GCF of 384,2820

2 384, 2820
2 192, 1410
3 96, 705
32, 235

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9242070/12

Therefore the LCM of Fractions 4339/384,2130/2820 is 9242070/12

Greatest Common Factor of 384,2820 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,2820 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 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820

Greatest Common Factor

We found the factors 384,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 384,2820 is 12.


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 4339/384, 2130/2820

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 4339/384, 2130/2820?

Answer: LCM of Numerators as per given numbers 4339/384, 2130/2820 is

LCM of Numerators i.e. for 4339,2130 is 9242070

GCF of denominators i.e. for 384,2820 is 12.

Thus, LCM of Fractions is 9242070/12.Finally, LCM of Fractions for 4339/384, 2130/2820 is 9242070/12.