Least Common Multiple of 3206/498, 7281/4962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3206/498, 7281/4962 quickly i.e. 3890481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3206/498, 7281/4962 is 3890481.

LCM(3206/498, 7281/4962) = 3890481

LCM of 3206/498, 7281/4962

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 3206/498,7281/4962

Given numbers are 3206/498,7281/4962

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 3206,7281

Least Common Multiple of Numerators i.e. LCM of 3206,7281 is 23342886.

GCF of Denominators means GCF of 498,4962 as per the given fractions.

GCF of 498,4962 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3206,7281

LCM of Fractions 3206/498,7281/4962 is 3890481

Given numbers has no common factors except 1. So, there LCM is their product i.e 23342886

Least Common Multiple of 3206,7281 with GCF Formula

Least Common Multiple of 3206,7281 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 3206,7281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3206,7281) = 1

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

GCF(3206,7281) x common factors =1 x 1 = 1

LCM(3206,7281) = ( 3206 × 7281 ) / 1

LCM(3206,7281) = 23342886 / 1

LCM(3206,7281) = 23342886


Lets's calculate GCF of 498,4962

2 498, 4962
3 249, 2481
83, 827

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23342886/6

Therefore the LCM of Fractions 3206/498,7281/4962 is 3890481

Greatest Common Factor of 498,4962 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,4962 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Greatest Common Factor

We found the factors 498,4962 . The biggest common factor number is the GCF number.
So the greatest common factor 498,4962 is 6.


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 3206/498, 7281/4962

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 3206/498, 7281/4962?

Answer: LCM of Numerators as per given numbers 3206/498, 7281/4962 is

LCM of Numerators i.e. for 3206,7281 is 23342886

GCF of denominators i.e. for 498,4962 is 6.

Thus, LCM of Fractions is 3890481.Finally, LCM of Fractions for 3206/498, 7281/4962 is 3890481.