Least Common Multiple of 1299/659, 8064/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1299/659, 8064/432 quickly i.e. 3491712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1299/659, 8064/432 is 3491712.

LCM(1299/659, 8064/432) = 3491712

LCM of 1299/659, 8064/432

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 1299/659,8064/432

Given numbers are 1299/659,8064/432

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 1299,8064

Least Common Multiple of Numerators i.e. LCM of 1299,8064 is 3491712.

GCF of Denominators means GCF of 659,432 as per the given fractions.

GCF of 659,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1299,8064

LCM of Fractions 1299/659,8064/432 is 3491712

3 1299, 8064
433, 2688

∴ So the LCM of the given numbers is 3 x 433 x 2688 = 3491712

Least Common Multiple of 1299,8064 with GCF Formula

Least Common Multiple of 1299,8064 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 1299,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1299,8064) = 3

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

GCF(1299,8064) x common factors =3 x 1 = 3

LCM(1299,8064) = ( 1299 × 8064 ) / 3

LCM(1299,8064) = 10475136 / 3

LCM(1299,8064) = 3491712


Lets's calculate GCF of 659,432

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3491712/1

Therefore the LCM of Fractions 1299/659,8064/432 is 3491712

Greatest Common Factor of 659,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,432 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 659,432 . The biggest common factor number is the GCF number.
So the greatest common factor 659,432 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1299/659, 8064/432

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 1299/659, 8064/432?

Answer: LCM of Numerators as per given numbers 1299/659, 8064/432 is

LCM of Numerators i.e. for 1299,8064 is 3491712

GCF of denominators i.e. for 659,432 is 1.

Thus, LCM of Fractions is 3491712.Finally, LCM of Fractions for 1299/659, 8064/432 is 3491712.