Least Common Multiple of 33/666, 40/759, 316/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/666, 40/759, 316/552 quickly i.e. 34760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/666, 40/759, 316/552 is 34760.

LCM(33/666, 40/759, 316/552) = 34760

LCM of 33/666, 40/759, 316/552

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 33/666,40/759,316/552

Given numbers are 33/666,40/759,316/552

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 33,40,316

Least Common Multiple of Numerators i.e. LCM of 33,40,316 is 104280.

GCF of Denominators means GCF of 666,759,552 as per the given fractions.

GCF of 666,759,552 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,40,316

LCM of Fractions 33/666,40/759,316/552 is 34760

2 33, 40, 316
2 33, 20, 158
33, 10, 79

∴ So the LCM of the given numbers is 2 x 2 x 33 x 10 x 79 = 104280

Least Common Multiple of 33,40,316 with GCF Formula

Least Common Multiple of 33,40,316 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 33,40,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,40,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(33,40,316) x common factors =1 x 4 = 4

LCM(33,40,316) = ( 33 × 40 × 316 ) / 4

LCM(33,40,316) = 417120 / 4

LCM(33,40,316) = 104280


Lets's calculate GCF of 666,759,552

3 666, 759, 552
222, 253, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104280/3

Therefore the LCM of Fractions 33/666,40/759,316/552 is 34760

Greatest Common Factor of 666,759,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,759,552 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 666,759,552 . The biggest common factor number is the GCF number.
So the greatest common factor 666,759,552 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 33/666, 40/759, 316/552

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 33/666, 40/759, 316/552?

Answer: LCM of Numerators as per given numbers 33/666, 40/759, 316/552 is

LCM of Numerators i.e. for 33,40,316 is 104280

GCF of denominators i.e. for 666,759,552 is 3.

Thus, LCM of Fractions is 34760.Finally, LCM of Fractions for 33/666, 40/759, 316/552 is 34760.