Least Common Multiple of 669/538, 759/428, 338/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 669/538, 759/428, 338/506 quickly i.e. 28604433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 669/538, 759/428, 338/506 is 28604433.

LCM(669/538, 759/428, 338/506) = 28604433

LCM of 669/538, 759/428, 338/506

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 669/538,759/428,338/506

Given numbers are 669/538,759/428,338/506

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 669,759,338

Least Common Multiple of Numerators i.e. LCM of 669,759,338 is 57208866.

GCF of Denominators means GCF of 538,428,506 as per the given fractions.

GCF of 538,428,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 669,759,338

LCM of Fractions 669/538,759/428,338/506 is 28604433

3 669, 759, 338
223, 253, 338

∴ So the LCM of the given numbers is 3 x 223 x 253 x 338 = 57208866

Least Common Multiple of 669,759,338 with GCF Formula

Least Common Multiple of 669,759,338 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 669,759,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,759,338) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(669,759,338) x common factors =1 x 3 = 3

LCM(669,759,338) = ( 669 × 759 × 338 ) / 3

LCM(669,759,338) = 171626598 / 3

LCM(669,759,338) = 57208866


Lets's calculate GCF of 538,428,506

2 538, 428, 506
269, 214, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57208866/2

Therefore the LCM of Fractions 669/538,759/428,338/506 is 28604433

Greatest Common Factor of 538,428,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,428,506 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 538,428,506 . The biggest common factor number is the GCF number.
So the greatest common factor 538,428,506 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 669/538, 759/428, 338/506

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 669/538, 759/428, 338/506?

Answer: LCM of Numerators as per given numbers 669/538, 759/428, 338/506 is

LCM of Numerators i.e. for 669,759,338 is 57208866

GCF of denominators i.e. for 538,428,506 is 2.

Thus, LCM of Fractions is 28604433.Finally, LCM of Fractions for 669/538, 759/428, 338/506 is 28604433.