Least Common Multiple of 33/48, 309/42, 957/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/48, 309/42, 957/963 quickly i.e. 32857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/48, 309/42, 957/963 is 32857.

LCM(33/48, 309/42, 957/963) = 32857

LCM of 33/48, 309/42, 957/963

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 33/48,309/42,957/963

Given numbers are 33/48,309/42,957/963

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 33,309,957

Least Common Multiple of Numerators i.e. LCM of 33,309,957 is 98571.

GCF of Denominators means GCF of 48,42,963 as per the given fractions.

GCF of 48,42,963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,309,957

LCM of Fractions 33/48,309/42,957/963 is 32857

3 33, 309, 957
11 11, 103, 319
1, 103, 29

∴ So the LCM of the given numbers is 3 x 11 x 1 x 103 x 29 = 98571

Least Common Multiple of 33,309,957 with GCF Formula

Least Common Multiple of 33,309,957 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 33,309,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,309,957) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(33,309,957) x common factors =3 x 33 = 99

LCM(33,309,957) = ( 33 × 309 × 957 ) / 99

LCM(33,309,957) = 9758529 / 99

LCM(33,309,957) = 98571


Lets's calculate GCF of 48,42,963

3 48, 42, 963
16, 14, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98571/3

Therefore the LCM of Fractions 33/48,309/42,957/963 is 32857

Greatest Common Factor of 48,42,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,42,963 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 48,42,963 . The biggest common factor number is the GCF number.
So the greatest common factor 48,42,963 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 33/48, 309/42, 957/963

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 33/48, 309/42, 957/963?

Answer: LCM of Numerators as per given numbers 33/48, 309/42, 957/963 is

LCM of Numerators i.e. for 33,309,957 is 98571

GCF of denominators i.e. for 48,42,963 is 3.

Thus, LCM of Fractions is 32857.Finally, LCM of Fractions for 33/48, 309/42, 957/963 is 32857.