Least Common Multiple of 996/28, 5787/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/28, 5787/666 quickly i.e. 960642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/28, 5787/666 is 960642.

LCM(996/28, 5787/666) = 960642

LCM of 996/28, 5787/666

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 996/28,5787/666

Given numbers are 996/28,5787/666

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 996,5787

Least Common Multiple of Numerators i.e. LCM of 996,5787 is 1921284.

GCF of Denominators means GCF of 28,666 as per the given fractions.

GCF of 28,666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,5787

LCM of Fractions 996/28,5787/666 is 960642

3 996, 5787
332, 1929

∴ So the LCM of the given numbers is 3 x 332 x 1929 = 1921284

Least Common Multiple of 996,5787 with GCF Formula

Least Common Multiple of 996,5787 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 996,5787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,5787) = 3

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

GCF(996,5787) x common factors =3 x 1 = 3

LCM(996,5787) = ( 996 × 5787 ) / 3

LCM(996,5787) = 5763852 / 3

LCM(996,5787) = 1921284


Lets's calculate GCF of 28,666

2 28, 666
14, 333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1921284/2

Therefore the LCM of Fractions 996/28,5787/666 is 960642

Greatest Common Factor of 28,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,666 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 28,666 . The biggest common factor number is the GCF number.
So the greatest common factor 28,666 is 2.


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 996/28, 5787/666

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 996/28, 5787/666?

Answer: LCM of Numerators as per given numbers 996/28, 5787/666 is

LCM of Numerators i.e. for 996,5787 is 1921284

GCF of denominators i.e. for 28,666 is 2.

Thus, LCM of Fractions is 960642.Finally, LCM of Fractions for 996/28, 5787/666 is 960642.