Least Common Multiple of 849/565, 9933/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/565, 9933/921 quickly i.e. 2811039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/565, 9933/921 is 2811039.

LCM(849/565, 9933/921) = 2811039

LCM of 849/565, 9933/921

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 849/565,9933/921

Given numbers are 849/565,9933/921

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 849,9933

Least Common Multiple of Numerators i.e. LCM of 849,9933 is 2811039.

GCF of Denominators means GCF of 565,921 as per the given fractions.

GCF of 565,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,9933

LCM of Fractions 849/565,9933/921 is 2811039

3 849, 9933
283, 3311

∴ So the LCM of the given numbers is 3 x 283 x 3311 = 2811039

Least Common Multiple of 849,9933 with GCF Formula

Least Common Multiple of 849,9933 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 849,9933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,9933) = 3

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

GCF(849,9933) x common factors =3 x 1 = 3

LCM(849,9933) = ( 849 × 9933 ) / 3

LCM(849,9933) = 8433117 / 3

LCM(849,9933) = 2811039


Lets's calculate GCF of 565,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2811039/1

Therefore the LCM of Fractions 849/565,9933/921 is 2811039

Greatest Common Factor of 565,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,921 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 565,921 . The biggest common factor number is the GCF number.
So the greatest common factor 565,921 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 849/565, 9933/921

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 849/565, 9933/921?

Answer: LCM of Numerators as per given numbers 849/565, 9933/921 is

LCM of Numerators i.e. for 849,9933 is 2811039

GCF of denominators i.e. for 565,921 is 1.

Thus, LCM of Fractions is 2811039.Finally, LCM of Fractions for 849/565, 9933/921 is 2811039.