Least Common Multiple of 23/216, 433/487, 481/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/216, 433/487, 481/693 quickly i.e. 4790279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/216, 433/487, 481/693 is 4790279.

LCM(23/216, 433/487, 481/693) = 4790279

LCM of 23/216, 433/487, 481/693

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 23/216,433/487,481/693

Given numbers are 23/216,433/487,481/693

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 23,433,481

Least Common Multiple of Numerators i.e. LCM of 23,433,481 is 4790279.

GCF of Denominators means GCF of 216,487,693 as per the given fractions.

GCF of 216,487,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,433,481

LCM of Fractions 23/216,433/487,481/693 is 4790279

Given numbers has no common factors except 1. So, there LCM is their product i.e 4790279

Least Common Multiple of 23,433,481 with GCF Formula

Least Common Multiple of 23,433,481 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 23,433,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,433,481) = 1

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

GCF(23,433,481) x common factors =1 x 1 = 1

LCM(23,433,481) = ( 23 × 433 × 481 ) / 1

LCM(23,433,481) = 4790279 / 1

LCM(23,433,481) = 4790279


Lets's calculate GCF of 216,487,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4790279/1

Therefore the LCM of Fractions 23/216,433/487,481/693 is 4790279

Greatest Common Factor of 216,487,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,487,693 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

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 216,487,693 . The biggest common factor number is the GCF number.
So the greatest common factor 216,487,693 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 23/216, 433/487, 481/693

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 23/216, 433/487, 481/693?

Answer: LCM of Numerators as per given numbers 23/216, 433/487, 481/693 is

LCM of Numerators i.e. for 23,433,481 is 4790279

GCF of denominators i.e. for 216,487,693 is 1.

Thus, LCM of Fractions is 4790279.Finally, LCM of Fractions for 23/216, 433/487, 481/693 is 4790279.