Least Common Multiple of 224/16, 483/2211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 224/16, 483/2211 quickly i.e. 15456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/16, 483/2211 is 15456.

LCM(224/16, 483/2211) = 15456

LCM of 224/16, 483/2211

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 224/16,483/2211

Given numbers are 224/16,483/2211

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 224,483

Least Common Multiple of Numerators i.e. LCM of 224,483 is 15456.

GCF of Denominators means GCF of 16,2211 as per the given fractions.

GCF of 16,2211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,483

LCM of Fractions 224/16,483/2211 is 15456

7 224, 483
32, 69

∴ So the LCM of the given numbers is 7 x 32 x 69 = 15456

Least Common Multiple of 224,483 with GCF Formula

Least Common Multiple of 224,483 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 224,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,483) = 7

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

GCF(224,483) x common factors =7 x 1 = 7

LCM(224,483) = ( 224 × 483 ) / 7

LCM(224,483) = 108192 / 7

LCM(224,483) = 15456


Lets's calculate GCF of 16,2211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15456/1

Therefore the LCM of Fractions 224/16,483/2211 is 15456

Greatest Common Factor of 16,2211 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2211 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1,3,11,33,67,201,737,2211

Greatest Common Factor

We found the factors 16,2211 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2211 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 224/16, 483/2211

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 224/16, 483/2211?

Answer: LCM of Numerators as per given numbers 224/16, 483/2211 is

LCM of Numerators i.e. for 224,483 is 15456

GCF of denominators i.e. for 16,2211 is 1.

Thus, LCM of Fractions is 15456.Finally, LCM of Fractions for 224/16, 483/2211 is 15456.