Least Common Multiple of 2511/322, 8442/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2511/322, 8442/897 quickly i.e. 2355318/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2511/322, 8442/897 is 2355318/23.

LCM(2511/322, 8442/897) = 2355318/23

LCM of 2511/322, 8442/897

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 2511/322,8442/897

Given numbers are 2511/322,8442/897

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 2511,8442

Least Common Multiple of Numerators i.e. LCM of 2511,8442 is 2355318.

GCF of Denominators means GCF of 322,897 as per the given fractions.

GCF of 322,897 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2511,8442

LCM of Fractions 2511/322,8442/897 is 2355318/23

3 2511, 8442
3 837, 2814
279, 938

∴ So the LCM of the given numbers is 3 x 3 x 279 x 938 = 2355318

Least Common Multiple of 2511,8442 with GCF Formula

Least Common Multiple of 2511,8442 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 2511,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2511,8442) = 9

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

GCF(2511,8442) x common factors =9 x 1 = 9

LCM(2511,8442) = ( 2511 × 8442 ) / 9

LCM(2511,8442) = 21197862 / 9

LCM(2511,8442) = 2355318


Lets's calculate GCF of 322,897

23 322, 897
14, 39

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2355318/23

Therefore the LCM of Fractions 2511/322,8442/897 is 2355318/23

Greatest Common Factor of 322,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,897 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 322,897 . The biggest common factor number is the GCF number.
So the greatest common factor 322,897 is 23.


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 2511/322, 8442/897

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 2511/322, 8442/897?

Answer: LCM of Numerators as per given numbers 2511/322, 8442/897 is

LCM of Numerators i.e. for 2511,8442 is 2355318

GCF of denominators i.e. for 322,897 is 23.

Thus, LCM of Fractions is 2355318/23.Finally, LCM of Fractions for 2511/322, 8442/897 is 2355318/23.