Least Common Multiple of 496/171, 9990/8238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/171, 9990/8238 quickly i.e. 825840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/171, 9990/8238 is 825840.

LCM(496/171, 9990/8238) = 825840

LCM of 496/171, 9990/8238

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 496/171,9990/8238

Given numbers are 496/171,9990/8238

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 496,9990

Least Common Multiple of Numerators i.e. LCM of 496,9990 is 2477520.

GCF of Denominators means GCF of 171,8238 as per the given fractions.

GCF of 171,8238 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,9990

LCM of Fractions 496/171,9990/8238 is 825840

2 496, 9990
248, 4995

∴ So the LCM of the given numbers is 2 x 248 x 4995 = 2477520

Least Common Multiple of 496,9990 with GCF Formula

Least Common Multiple of 496,9990 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 496,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,9990) = 2

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

GCF(496,9990) x common factors =2 x 1 = 2

LCM(496,9990) = ( 496 × 9990 ) / 2

LCM(496,9990) = 4955040 / 2

LCM(496,9990) = 2477520


Lets's calculate GCF of 171,8238

3 171, 8238
57, 2746

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2477520/3

Therefore the LCM of Fractions 496/171,9990/8238 is 825840

Greatest Common Factor of 171,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,8238 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 171,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 171,8238 is 3.


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 496/171, 9990/8238

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 496/171, 9990/8238?

Answer: LCM of Numerators as per given numbers 496/171, 9990/8238 is

LCM of Numerators i.e. for 496,9990 is 2477520

GCF of denominators i.e. for 171,8238 is 3.

Thus, LCM of Fractions is 825840.Finally, LCM of Fractions for 496/171, 9990/8238 is 825840.