Least Common Multiple of 24/765, 3219/3980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/765, 3219/3980 quickly i.e. 25752/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/765, 3219/3980 is 25752/5.

LCM(24/765, 3219/3980) = 25752/5

LCM of 24/765, 3219/3980

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 24/765,3219/3980

Given numbers are 24/765,3219/3980

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 24,3219

Least Common Multiple of Numerators i.e. LCM of 24,3219 is 25752.

GCF of Denominators means GCF of 765,3980 as per the given fractions.

GCF of 765,3980 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,3219

LCM of Fractions 24/765,3219/3980 is 25752/5

3 24, 3219
8, 1073

∴ So the LCM of the given numbers is 3 x 8 x 1073 = 25752

Least Common Multiple of 24,3219 with GCF Formula

Least Common Multiple of 24,3219 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 24,3219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,3219) = 3

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

GCF(24,3219) x common factors =3 x 1 = 3

LCM(24,3219) = ( 24 × 3219 ) / 3

LCM(24,3219) = 77256 / 3

LCM(24,3219) = 25752


Lets's calculate GCF of 765,3980

5 765, 3980
153, 796

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25752/5

Therefore the LCM of Fractions 24/765,3219/3980 is 25752/5

Greatest Common Factor of 765,3980 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,3980 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1,2,4,5,10,20,199,398,796,995,1990,3980

Greatest Common Factor

We found the factors 765,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 765,3980 is 5.


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 24/765, 3219/3980

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 24/765, 3219/3980?

Answer: LCM of Numerators as per given numbers 24/765, 3219/3980 is

LCM of Numerators i.e. for 24,3219 is 25752

GCF of denominators i.e. for 765,3980 is 5.

Thus, LCM of Fractions is 25752/5.Finally, LCM of Fractions for 24/765, 3219/3980 is 25752/5.