Least Common Multiple of 8499/326, 5385/6478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8499/326, 5385/6478 quickly i.e. 15255705/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8499/326, 5385/6478 is 15255705/2.

LCM(8499/326, 5385/6478) = 15255705/2

LCM of 8499/326, 5385/6478

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 8499/326,5385/6478

Given numbers are 8499/326,5385/6478

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 8499,5385

Least Common Multiple of Numerators i.e. LCM of 8499,5385 is 15255705.

GCF of Denominators means GCF of 326,6478 as per the given fractions.

GCF of 326,6478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8499,5385

LCM of Fractions 8499/326,5385/6478 is 15255705/2

3 8499, 5385
2833, 1795

∴ So the LCM of the given numbers is 3 x 2833 x 1795 = 15255705

Least Common Multiple of 8499,5385 with GCF Formula

Least Common Multiple of 8499,5385 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 8499,5385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8499,5385) = 3

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

GCF(8499,5385) x common factors =3 x 1 = 3

LCM(8499,5385) = ( 8499 × 5385 ) / 3

LCM(8499,5385) = 45767115 / 3

LCM(8499,5385) = 15255705


Lets's calculate GCF of 326,6478

2 326, 6478
163, 3239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15255705/2

Therefore the LCM of Fractions 8499/326,5385/6478 is 15255705/2

Greatest Common Factor of 326,6478 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,6478 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 6478

List of positive integer factors of 6478 that divides 6478 without a remainder.

1,2,41,79,82,158,3239,6478

Greatest Common Factor

We found the factors 326,6478 . The biggest common factor number is the GCF number.
So the greatest common factor 326,6478 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8499/326, 5385/6478

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 8499/326, 5385/6478?

Answer: LCM of Numerators as per given numbers 8499/326, 5385/6478 is

LCM of Numerators i.e. for 8499,5385 is 15255705

GCF of denominators i.e. for 326,6478 is 2.

Thus, LCM of Fractions is 15255705/2.Finally, LCM of Fractions for 8499/326, 5385/6478 is 15255705/2.