Least Common Multiple of 8242/499, 8098/9123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8242/499, 8098/9123 quickly i.e. 33371858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8242/499, 8098/9123 is 33371858.

LCM(8242/499, 8098/9123) = 33371858

LCM of 8242/499, 8098/9123

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 8242/499,8098/9123

Given numbers are 8242/499,8098/9123

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 8242,8098

Least Common Multiple of Numerators i.e. LCM of 8242,8098 is 33371858.

GCF of Denominators means GCF of 499,9123 as per the given fractions.

GCF of 499,9123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8242,8098

LCM of Fractions 8242/499,8098/9123 is 33371858

2 8242, 8098
4121, 4049

∴ So the LCM of the given numbers is 2 x 4121 x 4049 = 33371858

Least Common Multiple of 8242,8098 with GCF Formula

Least Common Multiple of 8242,8098 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 8242,8098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8242,8098) = 2

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

GCF(8242,8098) x common factors =2 x 1 = 2

LCM(8242,8098) = ( 8242 × 8098 ) / 2

LCM(8242,8098) = 66743716 / 2

LCM(8242,8098) = 33371858


Lets's calculate GCF of 499,9123

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33371858/1

Therefore the LCM of Fractions 8242/499,8098/9123 is 33371858

Greatest Common Factor of 499,9123 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,9123 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1,3,3041,9123

Greatest Common Factor

We found the factors 499,9123 . The biggest common factor number is the GCF number.
So the greatest common factor 499,9123 is 1.


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 8242/499, 8098/9123

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 8242/499, 8098/9123?

Answer: LCM of Numerators as per given numbers 8242/499, 8098/9123 is

LCM of Numerators i.e. for 8242,8098 is 33371858

GCF of denominators i.e. for 499,9123 is 1.

Thus, LCM of Fractions is 33371858.Finally, LCM of Fractions for 8242/499, 8098/9123 is 33371858.