Least Common Multiple of 511/22, 663/17, 488/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 511/22, 663/17, 488/823 quickly i.e. 165330984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 511/22, 663/17, 488/823 is 165330984.

LCM(511/22, 663/17, 488/823) = 165330984

LCM of 511/22, 663/17, 488/823

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 511/22,663/17,488/823

Given numbers are 511/22,663/17,488/823

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 511,663,488

Least Common Multiple of Numerators i.e. LCM of 511,663,488 is 165330984.

GCF of Denominators means GCF of 22,17,823 as per the given fractions.

GCF of 22,17,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 511,663,488

LCM of Fractions 511/22,663/17,488/823 is 165330984

Given numbers has no common factors except 1. So, there LCM is their product i.e 165330984

Least Common Multiple of 511,663,488 with GCF Formula

Least Common Multiple of 511,663,488 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 511,663,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,663,488) = 1

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

GCF(511,663,488) x common factors =1 x 1 = 1

LCM(511,663,488) = ( 511 × 663 × 488 ) / 1

LCM(511,663,488) = 165330984 / 1

LCM(511,663,488) = 165330984


Lets's calculate GCF of 22,17,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165330984/1

Therefore the LCM of Fractions 511/22,663/17,488/823 is 165330984

Greatest Common Factor of 22,17,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,17,823 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 22,17,823 . The biggest common factor number is the GCF number.
So the greatest common factor 22,17,823 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 511/22, 663/17, 488/823

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 511/22, 663/17, 488/823?

Answer: LCM of Numerators as per given numbers 511/22, 663/17, 488/823 is

LCM of Numerators i.e. for 511,663,488 is 165330984

GCF of denominators i.e. for 22,17,823 is 1.

Thus, LCM of Fractions is 165330984.Finally, LCM of Fractions for 511/22, 663/17, 488/823 is 165330984.