Least Common Multiple of 66/438, 603/344, 612/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/438, 603/344, 612/576 quickly i.e. 225522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/438, 603/344, 612/576 is 225522.

LCM(66/438, 603/344, 612/576) = 225522

LCM of 66/438, 603/344, 612/576

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 66/438,603/344,612/576

Given numbers are 66/438,603/344,612/576

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 66,603,612

Least Common Multiple of Numerators i.e. LCM of 66,603,612 is 451044.

GCF of Denominators means GCF of 438,344,576 as per the given fractions.

GCF of 438,344,576 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,603,612

LCM of Fractions 66/438,603/344,612/576 is 225522

2 66, 603, 612
3 33, 603, 306
3 11, 201, 102
11, 67, 34

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 67 x 34 = 451044

Least Common Multiple of 66,603,612 with GCF Formula

Least Common Multiple of 66,603,612 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 66,603,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,603,612) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(66,603,612) x common factors =3 x 18 = 54

LCM(66,603,612) = ( 66 × 603 × 612 ) / 54

LCM(66,603,612) = 24356376 / 54

LCM(66,603,612) = 451044


Lets's calculate GCF of 438,344,576

2 438, 344, 576
219, 172, 288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451044/2

Therefore the LCM of Fractions 66/438,603/344,612/576 is 225522

Greatest Common Factor of 438,344,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,344,576 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 438,344,576 . The biggest common factor number is the GCF number.
So the greatest common factor 438,344,576 is 2.


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 66/438, 603/344, 612/576

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 66/438, 603/344, 612/576?

Answer: LCM of Numerators as per given numbers 66/438, 603/344, 612/576 is

LCM of Numerators i.e. for 66,603,612 is 451044

GCF of denominators i.e. for 438,344,576 is 2.

Thus, LCM of Fractions is 225522.Finally, LCM of Fractions for 66/438, 603/344, 612/576 is 225522.