Least Common Multiple of 884/33, 288/42, 657/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 884/33, 288/42, 657/906 quickly i.e. 1548768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/33, 288/42, 657/906 is 1548768.

LCM(884/33, 288/42, 657/906) = 1548768

LCM of 884/33, 288/42, 657/906

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 884/33,288/42,657/906

Given numbers are 884/33,288/42,657/906

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 884,288,657

Least Common Multiple of Numerators i.e. LCM of 884,288,657 is 4646304.

GCF of Denominators means GCF of 33,42,906 as per the given fractions.

GCF of 33,42,906 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,288,657

LCM of Fractions 884/33,288/42,657/906 is 1548768

2 884, 288, 657
2 442, 144, 657
3 221, 72, 657
3 221, 24, 219
221, 8, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 221 x 8 x 73 = 4646304

Least Common Multiple of 884,288,657 with GCF Formula

Least Common Multiple of 884,288,657 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 884,288,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,288,657) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(884,288,657) x common factors =1 x 36 = 36

LCM(884,288,657) = ( 884 × 288 × 657 ) / 36

LCM(884,288,657) = 167266944 / 36

LCM(884,288,657) = 4646304


Lets's calculate GCF of 33,42,906

3 33, 42, 906
11, 14, 302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4646304/3

Therefore the LCM of Fractions 884/33,288/42,657/906 is 1548768

Greatest Common Factor of 33,42,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,42,906 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

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 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 33,42,906 . The biggest common factor number is the GCF number.
So the greatest common factor 33,42,906 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 884/33, 288/42, 657/906

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 884/33, 288/42, 657/906?

Answer: LCM of Numerators as per given numbers 884/33, 288/42, 657/906 is

LCM of Numerators i.e. for 884,288,657 is 4646304

GCF of denominators i.e. for 33,42,906 is 3.

Thus, LCM of Fractions is 1548768.Finally, LCM of Fractions for 884/33, 288/42, 657/906 is 1548768.