Least Common Multiple of 223/16, 684/9168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/16, 684/9168 quickly i.e. 152532/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/16, 684/9168 is 152532/16.

LCM(223/16, 684/9168) = 152532/16

LCM of 223/16, 684/9168

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 223/16,684/9168

Given numbers are 223/16,684/9168

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 223,684

Least Common Multiple of Numerators i.e. LCM of 223,684 is 152532.

GCF of Denominators means GCF of 16,9168 as per the given fractions.

GCF of 16,9168 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,684

LCM of Fractions 223/16,684/9168 is 152532/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 152532

Least Common Multiple of 223,684 with GCF Formula

Least Common Multiple of 223,684 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 223,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,684) = 1

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

GCF(223,684) x common factors =1 x 1 = 1

LCM(223,684) = ( 223 × 684 ) / 1

LCM(223,684) = 152532 / 1

LCM(223,684) = 152532


Lets's calculate GCF of 16,9168

2 16, 9168
2 8, 4584
2 4, 2292
2 2, 1146
1, 573

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152532/16

Therefore the LCM of Fractions 223/16,684/9168 is 152532/16

Greatest Common Factor of 16,9168 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,9168 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 9168

List of positive integer factors of 9168 that divides 9168 without a remainder.

1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168

Greatest Common Factor

We found the factors 16,9168 . The biggest common factor number is the GCF number.
So the greatest common factor 16,9168 is 16.


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 223/16, 684/9168

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 223/16, 684/9168?

Answer: LCM of Numerators as per given numbers 223/16, 684/9168 is

LCM of Numerators i.e. for 223,684 is 152532

GCF of denominators i.e. for 16,9168 is 16.

Thus, LCM of Fractions is 152532/16.Finally, LCM of Fractions for 223/16, 684/9168 is 152532/16.