Least Common Multiple of 1223/256, 3727/9872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1223/256, 3727/9872 quickly i.e. 4558121/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1223/256, 3727/9872 is 4558121/16.

LCM(1223/256, 3727/9872) = 4558121/16

LCM of 1223/256, 3727/9872

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 1223/256,3727/9872

Given numbers are 1223/256,3727/9872

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 1223,3727

Least Common Multiple of Numerators i.e. LCM of 1223,3727 is 4558121.

GCF of Denominators means GCF of 256,9872 as per the given fractions.

GCF of 256,9872 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1223,3727

LCM of Fractions 1223/256,3727/9872 is 4558121/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 4558121

Least Common Multiple of 1223,3727 with GCF Formula

Least Common Multiple of 1223,3727 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 1223,3727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1223,3727) = 1

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

GCF(1223,3727) x common factors =1 x 1 = 1

LCM(1223,3727) = ( 1223 × 3727 ) / 1

LCM(1223,3727) = 4558121 / 1

LCM(1223,3727) = 4558121


Lets's calculate GCF of 256,9872

2 256, 9872
2 128, 4936
2 64, 2468
2 32, 1234
16, 617

∴ 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 = 4558121/16

Therefore the LCM of Fractions 1223/256,3727/9872 is 4558121/16

Greatest Common Factor of 256,9872 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,9872 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1,2,4,8,16,617,1234,2468,4936,9872

Greatest Common Factor

We found the factors 256,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 256,9872 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 1223/256, 3727/9872

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 1223/256, 3727/9872?

Answer: LCM of Numerators as per given numbers 1223/256, 3727/9872 is

LCM of Numerators i.e. for 1223,3727 is 4558121

GCF of denominators i.e. for 256,9872 is 16.

Thus, LCM of Fractions is 4558121/16.Finally, LCM of Fractions for 1223/256, 3727/9872 is 4558121/16.