Least Common Multiple of 810/498, 249/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/498, 249/568 quickly i.e. 33615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/498, 249/568 is 33615.

LCM(810/498, 249/568) = 33615

LCM of 810/498, 249/568

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 810/498,249/568

Given numbers are 810/498,249/568

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 810,249

Least Common Multiple of Numerators i.e. LCM of 810,249 is 67230.

GCF of Denominators means GCF of 498,568 as per the given fractions.

GCF of 498,568 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,249

LCM of Fractions 810/498,249/568 is 33615

3 810, 249
270, 83

∴ So the LCM of the given numbers is 3 x 270 x 83 = 67230

Least Common Multiple of 810,249 with GCF Formula

Least Common Multiple of 810,249 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 810,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,249) = 3

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

GCF(810,249) x common factors =3 x 1 = 3

LCM(810,249) = ( 810 × 249 ) / 3

LCM(810,249) = 201690 / 3

LCM(810,249) = 67230


Lets's calculate GCF of 498,568

2 498, 568
249, 284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67230/2

Therefore the LCM of Fractions 810/498,249/568 is 33615

Greatest Common Factor of 498,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,568 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 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 498,568 . The biggest common factor number is the GCF number.
So the greatest common factor 498,568 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 810/498, 249/568

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 810/498, 249/568?

Answer: LCM of Numerators as per given numbers 810/498, 249/568 is

LCM of Numerators i.e. for 810,249 is 67230

GCF of denominators i.e. for 498,568 is 2.

Thus, LCM of Fractions is 33615.Finally, LCM of Fractions for 810/498, 249/568 is 33615.