Least Common Multiple of 996/358, 5733/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 996/358, 5733/395 quickly i.e. 1903356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/358, 5733/395 is 1903356.

LCM(996/358, 5733/395) = 1903356

LCM of 996/358, 5733/395

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 996/358,5733/395

Given numbers are 996/358,5733/395

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 996,5733

Least Common Multiple of Numerators i.e. LCM of 996,5733 is 1903356.

GCF of Denominators means GCF of 358,395 as per the given fractions.

GCF of 358,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,5733

LCM of Fractions 996/358,5733/395 is 1903356

3 996, 5733
332, 1911

∴ So the LCM of the given numbers is 3 x 332 x 1911 = 1903356

Least Common Multiple of 996,5733 with GCF Formula

Least Common Multiple of 996,5733 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 996,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,5733) = 3

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

GCF(996,5733) x common factors =3 x 1 = 3

LCM(996,5733) = ( 996 × 5733 ) / 3

LCM(996,5733) = 5710068 / 3

LCM(996,5733) = 1903356


Lets's calculate GCF of 358,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1903356/1

Therefore the LCM of Fractions 996/358,5733/395 is 1903356

Greatest Common Factor of 358,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,395 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 358,395 . The biggest common factor number is the GCF number.
So the greatest common factor 358,395 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 996/358, 5733/395

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 996/358, 5733/395?

Answer: LCM of Numerators as per given numbers 996/358, 5733/395 is

LCM of Numerators i.e. for 996,5733 is 1903356

GCF of denominators i.e. for 358,395 is 1.

Thus, LCM of Fractions is 1903356.Finally, LCM of Fractions for 996/358, 5733/395 is 1903356.