Least Common Multiple of 8246/324, 3831/1611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8246/324, 3831/1611 quickly i.e. 31590426/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8246/324, 3831/1611 is 31590426/9.

LCM(8246/324, 3831/1611) = 31590426/9

LCM of 8246/324, 3831/1611

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 8246/324,3831/1611

Given numbers are 8246/324,3831/1611

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 8246,3831

Least Common Multiple of Numerators i.e. LCM of 8246,3831 is 31590426.

GCF of Denominators means GCF of 324,1611 as per the given fractions.

GCF of 324,1611 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8246,3831

LCM of Fractions 8246/324,3831/1611 is 31590426/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 31590426

Least Common Multiple of 8246,3831 with GCF Formula

Least Common Multiple of 8246,3831 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 8246,3831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8246,3831) = 1

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

GCF(8246,3831) x common factors =1 x 1 = 1

LCM(8246,3831) = ( 8246 × 3831 ) / 1

LCM(8246,3831) = 31590426 / 1

LCM(8246,3831) = 31590426


Lets's calculate GCF of 324,1611

3 324, 1611
3 108, 537
36, 179

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31590426/9

Therefore the LCM of Fractions 8246/324,3831/1611 is 31590426/9

Greatest Common Factor of 324,1611 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,1611 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 1611

List of positive integer factors of 1611 that divides 1611 without a remainder.

1,3,9,179,537,1611

Greatest Common Factor

We found the factors 324,1611 . The biggest common factor number is the GCF number.
So the greatest common factor 324,1611 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8246/324, 3831/1611

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 8246/324, 3831/1611?

Answer: LCM of Numerators as per given numbers 8246/324, 3831/1611 is

LCM of Numerators i.e. for 8246,3831 is 31590426

GCF of denominators i.e. for 324,1611 is 9.

Thus, LCM of Fractions is 31590426/9.Finally, LCM of Fractions for 8246/324, 3831/1611 is 31590426/9.