Least Common Multiple of 723/204, 2940/7256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/204, 2940/7256 quickly i.e. 177135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/204, 2940/7256 is 177135.

LCM(723/204, 2940/7256) = 177135

LCM of 723/204, 2940/7256

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 723/204,2940/7256

Given numbers are 723/204,2940/7256

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 723,2940

Least Common Multiple of Numerators i.e. LCM of 723,2940 is 708540.

GCF of Denominators means GCF of 204,7256 as per the given fractions.

GCF of 204,7256 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,2940

LCM of Fractions 723/204,2940/7256 is 177135

3 723, 2940
241, 980

∴ So the LCM of the given numbers is 3 x 241 x 980 = 708540

Least Common Multiple of 723,2940 with GCF Formula

Least Common Multiple of 723,2940 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 723,2940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,2940) = 3

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

GCF(723,2940) x common factors =3 x 1 = 3

LCM(723,2940) = ( 723 × 2940 ) / 3

LCM(723,2940) = 2125620 / 3

LCM(723,2940) = 708540


Lets's calculate GCF of 204,7256

2 204, 7256
2 102, 3628
51, 1814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708540/4

Therefore the LCM of Fractions 723/204,2940/7256 is 177135

Greatest Common Factor of 204,7256 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,7256 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 7256

List of positive integer factors of 7256 that divides 7256 without a remainder.

1,2,4,8,907,1814,3628,7256

Greatest Common Factor

We found the factors 204,7256 . The biggest common factor number is the GCF number.
So the greatest common factor 204,7256 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 723/204, 2940/7256

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 723/204, 2940/7256?

Answer: LCM of Numerators as per given numbers 723/204, 2940/7256 is

LCM of Numerators i.e. for 723,2940 is 708540

GCF of denominators i.e. for 204,7256 is 4.

Thus, LCM of Fractions is 177135.Finally, LCM of Fractions for 723/204, 2940/7256 is 177135.