Least Common Multiple of 9024/182, 8517/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9024/182, 8517/106 quickly i.e. 12809568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9024/182, 8517/106 is 12809568.

LCM(9024/182, 8517/106) = 12809568

LCM of 9024/182, 8517/106

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 9024/182,8517/106

Given numbers are 9024/182,8517/106

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 9024,8517

Least Common Multiple of Numerators i.e. LCM of 9024,8517 is 25619136.

GCF of Denominators means GCF of 182,106 as per the given fractions.

GCF of 182,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9024,8517

LCM of Fractions 9024/182,8517/106 is 12809568

3 9024, 8517
3008, 2839

∴ So the LCM of the given numbers is 3 x 3008 x 2839 = 25619136

Least Common Multiple of 9024,8517 with GCF Formula

Least Common Multiple of 9024,8517 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 9024,8517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9024,8517) = 3

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

GCF(9024,8517) x common factors =3 x 1 = 3

LCM(9024,8517) = ( 9024 × 8517 ) / 3

LCM(9024,8517) = 76857408 / 3

LCM(9024,8517) = 25619136


Lets's calculate GCF of 182,106

2 182, 106
91, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25619136/2

Therefore the LCM of Fractions 9024/182,8517/106 is 12809568

Greatest Common Factor of 182,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,106 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 182,106 . The biggest common factor number is the GCF number.
So the greatest common factor 182,106 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 9024/182, 8517/106

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 9024/182, 8517/106?

Answer: LCM of Numerators as per given numbers 9024/182, 8517/106 is

LCM of Numerators i.e. for 9024,8517 is 25619136

GCF of denominators i.e. for 182,106 is 2.

Thus, LCM of Fractions is 12809568.Finally, LCM of Fractions for 9024/182, 8517/106 is 12809568.