Least Common Multiple of 74/393, 75/323, 763/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/393, 75/323, 763/363 quickly i.e. 4234650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/393, 75/323, 763/363 is 4234650.

LCM(74/393, 75/323, 763/363) = 4234650

LCM of 74/393, 75/323, 763/363

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 74/393,75/323,763/363

Given numbers are 74/393,75/323,763/363

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 74,75,763

Least Common Multiple of Numerators i.e. LCM of 74,75,763 is 4234650.

GCF of Denominators means GCF of 393,323,363 as per the given fractions.

GCF of 393,323,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,75,763

LCM of Fractions 74/393,75/323,763/363 is 4234650

Given numbers has no common factors except 1. So, there LCM is their product i.e 4234650

Least Common Multiple of 74,75,763 with GCF Formula

Least Common Multiple of 74,75,763 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 74,75,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,75,763) = 1

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

GCF(74,75,763) x common factors =1 x 1 = 1

LCM(74,75,763) = ( 74 × 75 × 763 ) / 1

LCM(74,75,763) = 4234650 / 1

LCM(74,75,763) = 4234650


Lets's calculate GCF of 393,323,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4234650/1

Therefore the LCM of Fractions 74/393,75/323,763/363 is 4234650

Greatest Common Factor of 393,323,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,323,363 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 393,323,363 . The biggest common factor number is the GCF number.
So the greatest common factor 393,323,363 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 74/393, 75/323, 763/363

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 74/393, 75/323, 763/363?

Answer: LCM of Numerators as per given numbers 74/393, 75/323, 763/363 is

LCM of Numerators i.e. for 74,75,763 is 4234650

GCF of denominators i.e. for 393,323,363 is 1.

Thus, LCM of Fractions is 4234650.Finally, LCM of Fractions for 74/393, 75/323, 763/363 is 4234650.