Least Common Multiple of 777/78, 723/4008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/78, 723/4008 quickly i.e. 187257/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/78, 723/4008 is 187257/6.

LCM(777/78, 723/4008) = 187257/6

LCM of 777/78, 723/4008

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 777/78,723/4008

Given numbers are 777/78,723/4008

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 777,723

Least Common Multiple of Numerators i.e. LCM of 777,723 is 187257.

GCF of Denominators means GCF of 78,4008 as per the given fractions.

GCF of 78,4008 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,723

LCM of Fractions 777/78,723/4008 is 187257/6

3 777, 723
259, 241

∴ So the LCM of the given numbers is 3 x 259 x 241 = 187257

Least Common Multiple of 777,723 with GCF Formula

Least Common Multiple of 777,723 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 777,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,723) = 3

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

GCF(777,723) x common factors =3 x 1 = 3

LCM(777,723) = ( 777 × 723 ) / 3

LCM(777,723) = 561771 / 3

LCM(777,723) = 187257


Lets's calculate GCF of 78,4008

2 78, 4008
3 39, 2004
13, 668

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187257/6

Therefore the LCM of Fractions 777/78,723/4008 is 187257/6

Greatest Common Factor of 78,4008 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,4008 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008

Greatest Common Factor

We found the factors 78,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 78,4008 is 6.


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 777/78, 723/4008

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 777/78, 723/4008?

Answer: LCM of Numerators as per given numbers 777/78, 723/4008 is

LCM of Numerators i.e. for 777,723 is 187257

GCF of denominators i.e. for 78,4008 is 6.

Thus, LCM of Fractions is 187257/6.Finally, LCM of Fractions for 777/78, 723/4008 is 187257/6.