Least Common Multiple of 999/28, 4341/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/28, 4341/400 quickly i.e. 1445553/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/28, 4341/400 is 1445553/4.

LCM(999/28, 4341/400) = 1445553/4

LCM of 999/28, 4341/400

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 999/28,4341/400

Given numbers are 999/28,4341/400

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 999,4341

Least Common Multiple of Numerators i.e. LCM of 999,4341 is 1445553.

GCF of Denominators means GCF of 28,400 as per the given fractions.

GCF of 28,400 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,4341

LCM of Fractions 999/28,4341/400 is 1445553/4

3 999, 4341
333, 1447

∴ So the LCM of the given numbers is 3 x 333 x 1447 = 1445553

Least Common Multiple of 999,4341 with GCF Formula

Least Common Multiple of 999,4341 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 999,4341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,4341) = 3

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

GCF(999,4341) x common factors =3 x 1 = 3

LCM(999,4341) = ( 999 × 4341 ) / 3

LCM(999,4341) = 4336659 / 3

LCM(999,4341) = 1445553


Lets's calculate GCF of 28,400

2 28, 400
2 14, 200
7, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1445553/4

Therefore the LCM of Fractions 999/28,4341/400 is 1445553/4

Greatest Common Factor of 28,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,400 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 28,400 . The biggest common factor number is the GCF number.
So the greatest common factor 28,400 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 999/28, 4341/400

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 999/28, 4341/400?

Answer: LCM of Numerators as per given numbers 999/28, 4341/400 is

LCM of Numerators i.e. for 999,4341 is 1445553

GCF of denominators i.e. for 28,400 is 4.

Thus, LCM of Fractions is 1445553/4.Finally, LCM of Fractions for 999/28, 4341/400 is 1445553/4.