Least Common Multiple of 18/512, 7138/9675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/512, 7138/9675 quickly i.e. 64242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/512, 7138/9675 is 64242.

LCM(18/512, 7138/9675) = 64242

LCM of 18/512, 7138/9675

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 18/512,7138/9675

Given numbers are 18/512,7138/9675

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 18,7138

Least Common Multiple of Numerators i.e. LCM of 18,7138 is 64242.

GCF of Denominators means GCF of 512,9675 as per the given fractions.

GCF of 512,9675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,7138

LCM of Fractions 18/512,7138/9675 is 64242

2 18, 7138
9, 3569

∴ So the LCM of the given numbers is 2 x 9 x 3569 = 64242

Least Common Multiple of 18,7138 with GCF Formula

Least Common Multiple of 18,7138 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 18,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,7138) = 2

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

GCF(18,7138) x common factors =2 x 1 = 2

LCM(18,7138) = ( 18 × 7138 ) / 2

LCM(18,7138) = 128484 / 2

LCM(18,7138) = 64242


Lets's calculate GCF of 512,9675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64242/1

Therefore the LCM of Fractions 18/512,7138/9675 is 64242

Greatest Common Factor of 512,9675 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,9675 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Greatest Common Factor

We found the factors 512,9675 . The biggest common factor number is the GCF number.
So the greatest common factor 512,9675 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 18/512, 7138/9675

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 18/512, 7138/9675?

Answer: LCM of Numerators as per given numbers 18/512, 7138/9675 is

LCM of Numerators i.e. for 18,7138 is 64242

GCF of denominators i.e. for 512,9675 is 1.

Thus, LCM of Fractions is 64242.Finally, LCM of Fractions for 18/512, 7138/9675 is 64242.