Least Common Multiple of 498/588, 4731/5966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/588, 4731/5966 quickly i.e. 4731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/588, 4731/5966 is 4731.

LCM(498/588, 4731/5966) = 4731

LCM of 498/588, 4731/5966

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 498/588,4731/5966

Given numbers are 498/588,4731/5966

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 498,4731

Least Common Multiple of Numerators i.e. LCM of 498,4731 is 9462.

GCF of Denominators means GCF of 588,5966 as per the given fractions.

GCF of 588,5966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,4731

LCM of Fractions 498/588,4731/5966 is 4731

3 498, 4731
83 166, 1577
2, 19

∴ So the LCM of the given numbers is 3 x 83 x 2 x 19 = 9462

Least Common Multiple of 498,4731 with GCF Formula

Least Common Multiple of 498,4731 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 498,4731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,4731) = 249

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

GCF(498,4731) x common factors =249 x 1 = 249

LCM(498,4731) = ( 498 × 4731 ) / 249

LCM(498,4731) = 2356038 / 249

LCM(498,4731) = 9462


Lets's calculate GCF of 588,5966

2 588, 5966
294, 2983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9462/2

Therefore the LCM of Fractions 498/588,4731/5966 is 4731

Greatest Common Factor of 588,5966 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,5966 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 5966

List of positive integer factors of 5966 that divides 5966 without a remainder.

1,2,19,38,157,314,2983,5966

Greatest Common Factor

We found the factors 588,5966 . The biggest common factor number is the GCF number.
So the greatest common factor 588,5966 is 2.


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 498/588, 4731/5966

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 498/588, 4731/5966?

Answer: LCM of Numerators as per given numbers 498/588, 4731/5966 is

LCM of Numerators i.e. for 498,4731 is 9462

GCF of denominators i.e. for 588,5966 is 2.

Thus, LCM of Fractions is 4731.Finally, LCM of Fractions for 498/588, 4731/5966 is 4731.