Least Common Multiple of 996/38, 581/9829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/38, 581/9829 quickly i.e. 6972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/38, 581/9829 is 6972.

LCM(996/38, 581/9829) = 6972

LCM of 996/38, 581/9829

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 996/38,581/9829

Given numbers are 996/38,581/9829

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 996,581

Least Common Multiple of Numerators i.e. LCM of 996,581 is 6972.

GCF of Denominators means GCF of 38,9829 as per the given fractions.

GCF of 38,9829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,581

LCM of Fractions 996/38,581/9829 is 6972

83 996, 581
12, 7

∴ So the LCM of the given numbers is 83 x 12 x 7 = 6972

Least Common Multiple of 996,581 with GCF Formula

Least Common Multiple of 996,581 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 996,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,581) = 83

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

GCF(996,581) x common factors =83 x 1 = 83

LCM(996,581) = ( 996 × 581 ) / 83

LCM(996,581) = 578676 / 83

LCM(996,581) = 6972


Lets's calculate GCF of 38,9829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6972/1

Therefore the LCM of Fractions 996/38,581/9829 is 6972

Greatest Common Factor of 38,9829 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,9829 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1,9829

Greatest Common Factor

We found the factors 38,9829 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9829 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 996/38, 581/9829

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 996/38, 581/9829?

Answer: LCM of Numerators as per given numbers 996/38, 581/9829 is

LCM of Numerators i.e. for 996,581 is 6972

GCF of denominators i.e. for 38,9829 is 1.

Thus, LCM of Fractions is 6972.Finally, LCM of Fractions for 996/38, 581/9829 is 6972.