Least Common Multiple of 6082/830, 8163/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6082/830, 8163/492 quickly i.e. 24823683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6082/830, 8163/492 is 24823683.

LCM(6082/830, 8163/492) = 24823683

LCM of 6082/830, 8163/492

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 6082/830,8163/492

Given numbers are 6082/830,8163/492

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 6082,8163

Least Common Multiple of Numerators i.e. LCM of 6082,8163 is 49647366.

GCF of Denominators means GCF of 830,492 as per the given fractions.

GCF of 830,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6082,8163

LCM of Fractions 6082/830,8163/492 is 24823683

Given numbers has no common factors except 1. So, there LCM is their product i.e 49647366

Least Common Multiple of 6082,8163 with GCF Formula

Least Common Multiple of 6082,8163 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 6082,8163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6082,8163) = 1

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

GCF(6082,8163) x common factors =1 x 1 = 1

LCM(6082,8163) = ( 6082 × 8163 ) / 1

LCM(6082,8163) = 49647366 / 1

LCM(6082,8163) = 49647366


Lets's calculate GCF of 830,492

2 830, 492
415, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49647366/2

Therefore the LCM of Fractions 6082/830,8163/492 is 24823683

Greatest Common Factor of 830,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,492 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 830,492 . The biggest common factor number is the GCF number.
So the greatest common factor 830,492 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6082/830, 8163/492

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 6082/830, 8163/492?

Answer: LCM of Numerators as per given numbers 6082/830, 8163/492 is

LCM of Numerators i.e. for 6082,8163 is 49647366

GCF of denominators i.e. for 830,492 is 2.

Thus, LCM of Fractions is 24823683.Finally, LCM of Fractions for 6082/830, 8163/492 is 24823683.