Least Common Multiple of 33/16, 807/92, 756/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/16, 807/92, 756/304 quickly i.e. 559251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/16, 807/92, 756/304 is 559251.

LCM(33/16, 807/92, 756/304) = 559251

LCM of 33/16, 807/92, 756/304

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 33/16,807/92,756/304

Given numbers are 33/16,807/92,756/304

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 33,807,756

Least Common Multiple of Numerators i.e. LCM of 33,807,756 is 2237004.

GCF of Denominators means GCF of 16,92,304 as per the given fractions.

GCF of 16,92,304 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,807,756

LCM of Fractions 33/16,807/92,756/304 is 559251

3 33, 807, 756
11, 269, 252

∴ So the LCM of the given numbers is 3 x 11 x 269 x 252 = 2237004

Least Common Multiple of 33,807,756 with GCF Formula

Least Common Multiple of 33,807,756 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 33,807,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,807,756) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,807,756) x common factors =3 x 3 = 9

LCM(33,807,756) = ( 33 × 807 × 756 ) / 9

LCM(33,807,756) = 20133036 / 9

LCM(33,807,756) = 2237004


Lets's calculate GCF of 16,92,304

2 16, 92, 304
2 8, 46, 152
4, 23, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2237004/4

Therefore the LCM of Fractions 33/16,807/92,756/304 is 559251

Greatest Common Factor of 16,92,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,92,304 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 16,92,304 . The biggest common factor number is the GCF number.
So the greatest common factor 16,92,304 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 33/16, 807/92, 756/304

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 33/16, 807/92, 756/304?

Answer: LCM of Numerators as per given numbers 33/16, 807/92, 756/304 is

LCM of Numerators i.e. for 33,807,756 is 2237004

GCF of denominators i.e. for 16,92,304 is 4.

Thus, LCM of Fractions is 559251.Finally, LCM of Fractions for 33/16, 807/92, 756/304 is 559251.