Least Common Multiple of 16/469, 24/222, 663/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/469, 24/222, 663/990 quickly i.e. 10608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/469, 24/222, 663/990 is 10608.

LCM(16/469, 24/222, 663/990) = 10608

LCM of 16/469, 24/222, 663/990

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 16/469,24/222,663/990

Given numbers are 16/469,24/222,663/990

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 16,24,663

Least Common Multiple of Numerators i.e. LCM of 16,24,663 is 10608.

GCF of Denominators means GCF of 469,222,990 as per the given fractions.

GCF of 469,222,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,24,663

LCM of Fractions 16/469,24/222,663/990 is 10608

2 16, 24, 663
2 8, 12, 663
2 4, 6, 663
3 2, 3, 663
2, 1, 221

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 1 x 221 = 10608

Least Common Multiple of 16,24,663 with GCF Formula

Least Common Multiple of 16,24,663 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 16,24,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,24,663) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(16,24,663) x common factors =1 x 24 = 24

LCM(16,24,663) = ( 16 × 24 × 663 ) / 24

LCM(16,24,663) = 254592 / 24

LCM(16,24,663) = 10608


Lets's calculate GCF of 469,222,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10608/1

Therefore the LCM of Fractions 16/469,24/222,663/990 is 10608

Greatest Common Factor of 469,222,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,222,990 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 469,222,990 . The biggest common factor number is the GCF number.
So the greatest common factor 469,222,990 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 16/469, 24/222, 663/990

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 16/469, 24/222, 663/990?

Answer: LCM of Numerators as per given numbers 16/469, 24/222, 663/990 is

LCM of Numerators i.e. for 16,24,663 is 10608

GCF of denominators i.e. for 469,222,990 is 1.

Thus, LCM of Fractions is 10608.Finally, LCM of Fractions for 16/469, 24/222, 663/990 is 10608.