Least Common Multiple of 648/90, 324/3036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/90, 324/3036 quickly i.e. 108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/90, 324/3036 is 108.

LCM(648/90, 324/3036) = 108

LCM of 648/90, 324/3036

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 648/90,324/3036

Given numbers are 648/90,324/3036

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 648,324

Least Common Multiple of Numerators i.e. LCM of 648,324 is 648.

GCF of Denominators means GCF of 90,3036 as per the given fractions.

GCF of 90,3036 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,324

LCM of Fractions 648/90,324/3036 is 108

2 648, 324
2 324, 162
3 81, 162
3 27, 54
3 9, 18
3 3, 6
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 1 x 2 = 648

Least Common Multiple of 648,324 with GCF Formula

Least Common Multiple of 648,324 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 648,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,324) = 324

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

GCF(648,324) x common factors =324 x 1 = 324

LCM(648,324) = ( 648 × 324 ) / 324

LCM(648,324) = 209952 / 324

LCM(648,324) = 648


Lets's calculate GCF of 90,3036

2 90, 3036
3 45, 1518
15, 506

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648/6

Therefore the LCM of Fractions 648/90,324/3036 is 108

Greatest Common Factor of 90,3036 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,3036 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036

Greatest Common Factor

We found the factors 90,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 90,3036 is 6.


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 648/90, 324/3036

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 648/90, 324/3036?

Answer: LCM of Numerators as per given numbers 648/90, 324/3036 is

LCM of Numerators i.e. for 648,324 is 648

GCF of denominators i.e. for 90,3036 is 6.

Thus, LCM of Fractions is 108.Finally, LCM of Fractions for 648/90, 324/3036 is 108.