Least Common Multiple of 512/38, 155/3663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 512/38, 155/3663 quickly i.e. 79360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/38, 155/3663 is 79360.

LCM(512/38, 155/3663) = 79360

LCM of 512/38, 155/3663

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 512/38,155/3663

Given numbers are 512/38,155/3663

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 512,155

Least Common Multiple of Numerators i.e. LCM of 512,155 is 79360.

GCF of Denominators means GCF of 38,3663 as per the given fractions.

GCF of 38,3663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,155

LCM of Fractions 512/38,155/3663 is 79360

Given numbers has no common factors except 1. So, there LCM is their product i.e 79360

Least Common Multiple of 512,155 with GCF Formula

Least Common Multiple of 512,155 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 512,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,155) = 1

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

GCF(512,155) x common factors =1 x 1 = 1

LCM(512,155) = ( 512 × 155 ) / 1

LCM(512,155) = 79360 / 1

LCM(512,155) = 79360


Lets's calculate GCF of 38,3663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79360/1

Therefore the LCM of Fractions 512/38,155/3663 is 79360

Greatest Common Factor of 38,3663 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,3663 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Greatest Common Factor

We found the factors 38,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 38,3663 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 512/38, 155/3663

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 512/38, 155/3663?

Answer: LCM of Numerators as per given numbers 512/38, 155/3663 is

LCM of Numerators i.e. for 512,155 is 79360

GCF of denominators i.e. for 38,3663 is 1.

Thus, LCM of Fractions is 79360.Finally, LCM of Fractions for 512/38, 155/3663 is 79360.