Least Common Multiple of 33/66, 424/96, 384/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/66, 424/96, 384/417 quickly i.e. 74624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/66, 424/96, 384/417 is 74624.

LCM(33/66, 424/96, 384/417) = 74624

LCM of 33/66, 424/96, 384/417

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 33/66,424/96,384/417

Given numbers are 33/66,424/96,384/417

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 33,424,384

Least Common Multiple of Numerators i.e. LCM of 33,424,384 is 223872.

GCF of Denominators means GCF of 66,96,417 as per the given fractions.

GCF of 66,96,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,424,384

LCM of Fractions 33/66,424/96,384/417 is 74624

2 33, 424, 384
2 33, 212, 192
2 33, 106, 96
3 33, 53, 48
11, 53, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 53 x 16 = 223872

Least Common Multiple of 33,424,384 with GCF Formula

Least Common Multiple of 33,424,384 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 33,424,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,424,384) = 1

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

GCF(33,424,384) x common factors =1 x 24 = 24

LCM(33,424,384) = ( 33 × 424 × 384 ) / 24

LCM(33,424,384) = 5372928 / 24

LCM(33,424,384) = 223872


Lets's calculate GCF of 66,96,417

3 66, 96, 417
22, 32, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223872/3

Therefore the LCM of Fractions 33/66,424/96,384/417 is 74624

Greatest Common Factor of 66,96,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,96,417 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 66,96,417 . The biggest common factor number is the GCF number.
So the greatest common factor 66,96,417 is 3.


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 33/66, 424/96, 384/417

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 33/66, 424/96, 384/417?

Answer: LCM of Numerators as per given numbers 33/66, 424/96, 384/417 is

LCM of Numerators i.e. for 33,424,384 is 223872

GCF of denominators i.e. for 66,96,417 is 3.

Thus, LCM of Fractions is 74624.Finally, LCM of Fractions for 33/66, 424/96, 384/417 is 74624.