Least Common Multiple of 12/638, 18/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/638, 18/495 quickly i.e. 36/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/638, 18/495 is 36/11.

LCM(12/638, 18/495) = 36/11

LCM of 12/638, 18/495

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 12/638,18/495

Given numbers are 12/638,18/495

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 12,18

Least Common Multiple of Numerators i.e. LCM of 12,18 is 36.

GCF of Denominators means GCF of 638,495 as per the given fractions.

GCF of 638,495 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,18

LCM of Fractions 12/638,18/495 is 36/11

2 12, 18
3 6, 9
2, 3

∴ So the LCM of the given numbers is 2 x 3 x 2 x 3 = 36

Least Common Multiple of 12,18 with GCF Formula

Least Common Multiple of 12,18 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 12,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,18) = 6

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

GCF(12,18) x common factors =6 x 1 = 6

LCM(12,18) = ( 12 × 18 ) / 6

LCM(12,18) = 216 / 6

LCM(12,18) = 36


Lets's calculate GCF of 638,495

11 638, 495
58, 45

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36/11

Therefore the LCM of Fractions 12/638,18/495 is 36/11

Greatest Common Factor of 638,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,495 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 638,495 . The biggest common factor number is the GCF number.
So the greatest common factor 638,495 is 11.


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 12/638, 18/495

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 12/638, 18/495?

Answer: LCM of Numerators as per given numbers 12/638, 18/495 is

LCM of Numerators i.e. for 12,18 is 36

GCF of denominators i.e. for 638,495 is 11.

Thus, LCM of Fractions is 36/11.Finally, LCM of Fractions for 12/638, 18/495 is 36/11.