Least Common Multiple of 4488/33, 2302/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4488/33, 2302/814 quickly i.e. 469608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4488/33, 2302/814 is 469608.

LCM(4488/33, 2302/814) = 469608

LCM of 4488/33, 2302/814

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 4488/33,2302/814

Given numbers are 4488/33,2302/814

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 4488,2302

Least Common Multiple of Numerators i.e. LCM of 4488,2302 is 5165688.

GCF of Denominators means GCF of 33,814 as per the given fractions.

GCF of 33,814 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4488,2302

LCM of Fractions 4488/33,2302/814 is 469608

2 4488, 2302
2244, 1151

∴ So the LCM of the given numbers is 2 x 2244 x 1151 = 5165688

Least Common Multiple of 4488,2302 with GCF Formula

Least Common Multiple of 4488,2302 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 4488,2302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4488,2302) = 2

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

GCF(4488,2302) x common factors =2 x 1 = 2

LCM(4488,2302) = ( 4488 × 2302 ) / 2

LCM(4488,2302) = 10331376 / 2

LCM(4488,2302) = 5165688


Lets's calculate GCF of 33,814

11 33, 814
3, 74

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5165688/11

Therefore the LCM of Fractions 4488/33,2302/814 is 469608

Greatest Common Factor of 33,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,814 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 33,814 . The biggest common factor number is the GCF number.
So the greatest common factor 33,814 is 11.


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 4488/33, 2302/814

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 4488/33, 2302/814?

Answer: LCM of Numerators as per given numbers 4488/33, 2302/814 is

LCM of Numerators i.e. for 4488,2302 is 5165688

GCF of denominators i.e. for 33,814 is 11.

Thus, LCM of Fractions is 469608.Finally, LCM of Fractions for 4488/33, 2302/814 is 469608.