Least Common Multiple of 3/723, 66/978, 33/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/723, 66/978, 33/260 quickly i.e. 66 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, 66/978, 33/260 is 66.

LCM(3/723, 66/978, 33/260) = 66

LCM of 3/723, 66/978, 33/260

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 3/723,66/978,33/260

Given numbers are 3/723,66/978,33/260

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 3,66,33

Least Common Multiple of Numerators i.e. LCM of 3,66,33 is 66.

GCF of Denominators means GCF of 723,978,260 as per the given fractions.

GCF of 723,978,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,66,33

LCM of Fractions 3/723,66/978,33/260 is 66

3 3, 66, 33
11 1, 22, 11
1, 2, 1

∴ So the LCM of the given numbers is 3 x 11 x 1 x 2 x 1 = 66

Least Common Multiple of 3,66,33 with GCF Formula

Least Common Multiple of 3,66,33 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 3,66,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,66,33) = 3

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

GCF(3,66,33) x common factors =3 x 33 = 99

LCM(3,66,33) = ( 3 × 66 × 33 ) / 99

LCM(3,66,33) = 6534 / 99

LCM(3,66,33) = 66


Lets's calculate GCF of 723,978,260

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66/1

Therefore the LCM of Fractions 3/723,66/978,33/260 is 66

Greatest Common Factor of 723,978,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,978,260 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 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 723,978,260 . The biggest common factor number is the GCF number.
So the greatest common factor 723,978,260 is 1.


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, 66/978, 33/260

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, 66/978, 33/260?

Answer: LCM of Numerators as per given numbers 3/723, 66/978, 33/260 is

LCM of Numerators i.e. for 3,66,33 is 66

GCF of denominators i.e. for 723,978,260 is 1.

Thus, LCM of Fractions is 66.Finally, LCM of Fractions for 3/723, 66/978, 33/260 is 66.