Least Common Multiple of 82/492, 2001/6348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/492, 2001/6348 quickly i.e. 164082/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/492, 2001/6348 is 164082/12.

LCM(82/492, 2001/6348) = 164082/12

LCM of 82/492, 2001/6348

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 82/492,2001/6348

Given numbers are 82/492,2001/6348

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 82,2001

Least Common Multiple of Numerators i.e. LCM of 82,2001 is 164082.

GCF of Denominators means GCF of 492,6348 as per the given fractions.

GCF of 492,6348 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,2001

LCM of Fractions 82/492,2001/6348 is 164082/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 164082

Least Common Multiple of 82,2001 with GCF Formula

Least Common Multiple of 82,2001 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 82,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,2001) = 1

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

GCF(82,2001) x common factors =1 x 1 = 1

LCM(82,2001) = ( 82 × 2001 ) / 1

LCM(82,2001) = 164082 / 1

LCM(82,2001) = 164082


Lets's calculate GCF of 492,6348

2 492, 6348
2 246, 3174
3 123, 1587
41, 529

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164082/12

Therefore the LCM of Fractions 82/492,2001/6348 is 164082/12

Greatest Common Factor of 492,6348 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,6348 By Matching Biggest Common Factor Method

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

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348

Greatest Common Factor

We found the factors 492,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 492,6348 is 12.


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 82/492, 2001/6348

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 82/492, 2001/6348?

Answer: LCM of Numerators as per given numbers 82/492, 2001/6348 is

LCM of Numerators i.e. for 82,2001 is 164082

GCF of denominators i.e. for 492,6348 is 12.

Thus, LCM of Fractions is 164082/12.Finally, LCM of Fractions for 82/492, 2001/6348 is 164082/12.