Least Common Multiple of 996/783, 5892/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/783, 5892/829 quickly i.e. 489036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/783, 5892/829 is 489036.

LCM(996/783, 5892/829) = 489036

LCM of 996/783, 5892/829

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 996/783,5892/829

Given numbers are 996/783,5892/829

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 996,5892

Least Common Multiple of Numerators i.e. LCM of 996,5892 is 489036.

GCF of Denominators means GCF of 783,829 as per the given fractions.

GCF of 783,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,5892

LCM of Fractions 996/783,5892/829 is 489036

2 996, 5892
2 498, 2946
3 249, 1473
83, 491

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 491 = 489036

Least Common Multiple of 996,5892 with GCF Formula

Least Common Multiple of 996,5892 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 996,5892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,5892) = 12

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

GCF(996,5892) x common factors =12 x 1 = 12

LCM(996,5892) = ( 996 × 5892 ) / 12

LCM(996,5892) = 5868432 / 12

LCM(996,5892) = 489036


Lets's calculate GCF of 783,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489036/1

Therefore the LCM of Fractions 996/783,5892/829 is 489036

Greatest Common Factor of 783,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,829 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 783,829 . The biggest common factor number is the GCF number.
So the greatest common factor 783,829 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 996/783, 5892/829

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 996/783, 5892/829?

Answer: LCM of Numerators as per given numbers 996/783, 5892/829 is

LCM of Numerators i.e. for 996,5892 is 489036

GCF of denominators i.e. for 783,829 is 1.

Thus, LCM of Fractions is 489036.Finally, LCM of Fractions for 996/783, 5892/829 is 489036.