Least Common Multiple of 5790/996, 5391/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5790/996, 5391/693 quickly i.e. 3468210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5790/996, 5391/693 is 3468210.

LCM(5790/996, 5391/693) = 3468210

LCM of 5790/996, 5391/693

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 5790/996,5391/693

Given numbers are 5790/996,5391/693

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 5790,5391

Least Common Multiple of Numerators i.e. LCM of 5790,5391 is 10404630.

GCF of Denominators means GCF of 996,693 as per the given fractions.

GCF of 996,693 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5790,5391

LCM of Fractions 5790/996,5391/693 is 3468210

3 5790, 5391
1930, 1797

∴ So the LCM of the given numbers is 3 x 1930 x 1797 = 10404630

Least Common Multiple of 5790,5391 with GCF Formula

Least Common Multiple of 5790,5391 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 5790,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5790,5391) = 3

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

GCF(5790,5391) x common factors =3 x 1 = 3

LCM(5790,5391) = ( 5790 × 5391 ) / 3

LCM(5790,5391) = 31213890 / 3

LCM(5790,5391) = 10404630


Lets's calculate GCF of 996,693

3 996, 693
332, 231

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10404630/3

Therefore the LCM of Fractions 5790/996,5391/693 is 3468210

Greatest Common Factor of 996,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,693 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 996,693 . The biggest common factor number is the GCF number.
So the greatest common factor 996,693 is 3.


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 5790/996, 5391/693

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 5790/996, 5391/693?

Answer: LCM of Numerators as per given numbers 5790/996, 5391/693 is

LCM of Numerators i.e. for 5790,5391 is 10404630

GCF of denominators i.e. for 996,693 is 3.

Thus, LCM of Fractions is 3468210.Finally, LCM of Fractions for 5790/996, 5391/693 is 3468210.