Least Common Multiple of 3/723, 71/756, 83/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/723, 71/756, 83/933 quickly i.e. 5893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/723, 71/756, 83/933 is 5893.

LCM(3/723, 71/756, 83/933) = 5893

LCM of 3/723, 71/756, 83/933

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 3/723,71/756,83/933

Given numbers are 3/723,71/756,83/933

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 3,71,83

Least Common Multiple of Numerators i.e. LCM of 3,71,83 is 17679.

GCF of Denominators means GCF of 723,756,933 as per the given fractions.

GCF of 723,756,933 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,71,83

LCM of Fractions 3/723,71/756,83/933 is 5893

Given numbers has no common factors except 1. So, there LCM is their product i.e 17679

Least Common Multiple of 3,71,83 with GCF Formula

Least Common Multiple of 3,71,83 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 3,71,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,71,83) = 1

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

GCF(3,71,83) x common factors =1 x 1 = 1

LCM(3,71,83) = ( 3 × 71 × 83 ) / 1

LCM(3,71,83) = 17679 / 1

LCM(3,71,83) = 17679


Lets's calculate GCF of 723,756,933

3 723, 756, 933
241, 252, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17679/3

Therefore the LCM of Fractions 3/723,71/756,83/933 is 5893

Greatest Common Factor of 723,756,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,756,933 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 723,756,933 . The biggest common factor number is the GCF number.
So the greatest common factor 723,756,933 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 3/723, 71/756, 83/933

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 3/723, 71/756, 83/933?

Answer: LCM of Numerators as per given numbers 3/723, 71/756, 83/933 is

LCM of Numerators i.e. for 3,71,83 is 17679

GCF of denominators i.e. for 723,756,933 is 3.

Thus, LCM of Fractions is 5893.Finally, LCM of Fractions for 3/723, 71/756, 83/933 is 5893.