Least Common Multiple of 24/305, 615/842, 660/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/305, 615/842, 660/725 quickly i.e. 54120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/305, 615/842, 660/725 is 54120.

LCM(24/305, 615/842, 660/725) = 54120

LCM of 24/305, 615/842, 660/725

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 24/305,615/842,660/725

Given numbers are 24/305,615/842,660/725

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 24,615,660

Least Common Multiple of Numerators i.e. LCM of 24,615,660 is 54120.

GCF of Denominators means GCF of 305,842,725 as per the given fractions.

GCF of 305,842,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,615,660

LCM of Fractions 24/305,615/842,660/725 is 54120

2 24, 615, 660
2 12, 615, 330
3 6, 615, 165
5 2, 205, 55
2, 41, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 41 x 11 = 54120

Least Common Multiple of 24,615,660 with GCF Formula

Least Common Multiple of 24,615,660 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 24,615,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,615,660) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(24,615,660) x common factors =3 x 60 = 180

LCM(24,615,660) = ( 24 × 615 × 660 ) / 180

LCM(24,615,660) = 9741600 / 180

LCM(24,615,660) = 54120


Lets's calculate GCF of 305,842,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54120/1

Therefore the LCM of Fractions 24/305,615/842,660/725 is 54120

Greatest Common Factor of 305,842,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,842,725 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 305,842,725 . The biggest common factor number is the GCF number.
So the greatest common factor 305,842,725 is 1.


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 24/305, 615/842, 660/725

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 24/305, 615/842, 660/725?

Answer: LCM of Numerators as per given numbers 24/305, 615/842, 660/725 is

LCM of Numerators i.e. for 24,615,660 is 54120

GCF of denominators i.e. for 305,842,725 is 1.

Thus, LCM of Fractions is 54120.Finally, LCM of Fractions for 24/305, 615/842, 660/725 is 54120.