Least Common Multiple of 648/12, 5225/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/12, 5225/720 quickly i.e. 282150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/12, 5225/720 is 282150.

LCM(648/12, 5225/720) = 282150

LCM of 648/12, 5225/720

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 648/12,5225/720

Given numbers are 648/12,5225/720

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 648,5225

Least Common Multiple of Numerators i.e. LCM of 648,5225 is 3385800.

GCF of Denominators means GCF of 12,720 as per the given fractions.

GCF of 12,720 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,5225

LCM of Fractions 648/12,5225/720 is 282150

Given numbers has no common factors except 1. So, there LCM is their product i.e 3385800

Least Common Multiple of 648,5225 with GCF Formula

Least Common Multiple of 648,5225 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 648,5225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,5225) = 1

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

GCF(648,5225) x common factors =1 x 1 = 1

LCM(648,5225) = ( 648 × 5225 ) / 1

LCM(648,5225) = 3385800 / 1

LCM(648,5225) = 3385800


Lets's calculate GCF of 12,720

2 12, 720
2 6, 360
3 3, 180
1, 60

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3385800/12

Therefore the LCM of Fractions 648/12,5225/720 is 282150

Greatest Common Factor of 12,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,720 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 12,720 . The biggest common factor number is the GCF number.
So the greatest common factor 12,720 is 12.


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 648/12, 5225/720

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 648/12, 5225/720?

Answer: LCM of Numerators as per given numbers 648/12, 5225/720 is

LCM of Numerators i.e. for 648,5225 is 3385800

GCF of denominators i.e. for 12,720 is 12.

Thus, LCM of Fractions is 282150.Finally, LCM of Fractions for 648/12, 5225/720 is 282150.