Least Common Multiple of 393/469, 8120/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 393/469, 8120/777 quickly i.e. 455880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 393/469, 8120/777 is 455880.

LCM(393/469, 8120/777) = 455880

LCM of 393/469, 8120/777

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 393/469,8120/777

Given numbers are 393/469,8120/777

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 393,8120

Least Common Multiple of Numerators i.e. LCM of 393,8120 is 3191160.

GCF of Denominators means GCF of 469,777 as per the given fractions.

GCF of 469,777 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 393,8120

LCM of Fractions 393/469,8120/777 is 455880

Given numbers has no common factors except 1. So, there LCM is their product i.e 3191160

Least Common Multiple of 393,8120 with GCF Formula

Least Common Multiple of 393,8120 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 393,8120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,8120) = 1

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

GCF(393,8120) x common factors =1 x 1 = 1

LCM(393,8120) = ( 393 × 8120 ) / 1

LCM(393,8120) = 3191160 / 1

LCM(393,8120) = 3191160


Lets's calculate GCF of 469,777

7 469, 777
67, 111

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3191160/7

Therefore the LCM of Fractions 393/469,8120/777 is 455880

Greatest Common Factor of 469,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,777 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 469,777 . The biggest common factor number is the GCF number.
So the greatest common factor 469,777 is 7.


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 393/469, 8120/777

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 393/469, 8120/777?

Answer: LCM of Numerators as per given numbers 393/469, 8120/777 is

LCM of Numerators i.e. for 393,8120 is 3191160

GCF of denominators i.e. for 469,777 is 7.

Thus, LCM of Fractions is 455880.Finally, LCM of Fractions for 393/469, 8120/777 is 455880.