Least Common Multiple of 963/300, 1452/4338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 963/300, 1452/4338 quickly i.e. 77682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/300, 1452/4338 is 77682.

LCM(963/300, 1452/4338) = 77682

LCM of 963/300, 1452/4338

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 963/300,1452/4338

Given numbers are 963/300,1452/4338

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 963,1452

Least Common Multiple of Numerators i.e. LCM of 963,1452 is 466092.

GCF of Denominators means GCF of 300,4338 as per the given fractions.

GCF of 300,4338 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,1452

LCM of Fractions 963/300,1452/4338 is 77682

3 963, 1452
321, 484

∴ So the LCM of the given numbers is 3 x 321 x 484 = 466092

Least Common Multiple of 963,1452 with GCF Formula

Least Common Multiple of 963,1452 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 963,1452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,1452) = 3

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

GCF(963,1452) x common factors =3 x 1 = 3

LCM(963,1452) = ( 963 × 1452 ) / 3

LCM(963,1452) = 1398276 / 3

LCM(963,1452) = 466092


Lets's calculate GCF of 300,4338

2 300, 4338
3 150, 2169
50, 723

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 466092/6

Therefore the LCM of Fractions 963/300,1452/4338 is 77682

Greatest Common Factor of 300,4338 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,4338 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 4338

List of positive integer factors of 4338 that divides 4338 without a remainder.

1,2,3,6,9,18,241,482,723,1446,2169,4338

Greatest Common Factor

We found the factors 300,4338 . The biggest common factor number is the GCF number.
So the greatest common factor 300,4338 is 6.


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 963/300, 1452/4338

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 963/300, 1452/4338?

Answer: LCM of Numerators as per given numbers 963/300, 1452/4338 is

LCM of Numerators i.e. for 963,1452 is 466092

GCF of denominators i.e. for 300,4338 is 6.

Thus, LCM of Fractions is 77682.Finally, LCM of Fractions for 963/300, 1452/4338 is 77682.