Least Common Multiple of 24/60, 866/42, 609/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/60, 866/42, 609/968 quickly i.e. 1054788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/60, 866/42, 609/968 is 1054788.

LCM(24/60, 866/42, 609/968) = 1054788

LCM of 24/60, 866/42, 609/968

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 24/60,866/42,609/968

Given numbers are 24/60,866/42,609/968

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 24,866,609

Least Common Multiple of Numerators i.e. LCM of 24,866,609 is 2109576.

GCF of Denominators means GCF of 60,42,968 as per the given fractions.

GCF of 60,42,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,866,609

LCM of Fractions 24/60,866/42,609/968 is 1054788

2 24, 866, 609
3 12, 433, 609
4, 433, 203

∴ So the LCM of the given numbers is 2 x 3 x 4 x 433 x 203 = 2109576

Least Common Multiple of 24,866,609 with GCF Formula

Least Common Multiple of 24,866,609 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 24,866,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,866,609) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,866,609) x common factors =1 x 6 = 6

LCM(24,866,609) = ( 24 × 866 × 609 ) / 6

LCM(24,866,609) = 12657456 / 6

LCM(24,866,609) = 2109576


Lets's calculate GCF of 60,42,968

2 60, 42, 968
30, 21, 484

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2109576/2

Therefore the LCM of Fractions 24/60,866/42,609/968 is 1054788

Greatest Common Factor of 60,42,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,42,968 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 60,42,968 . The biggest common factor number is the GCF number.
So the greatest common factor 60,42,968 is 2.


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 24/60, 866/42, 609/968

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 24/60, 866/42, 609/968?

Answer: LCM of Numerators as per given numbers 24/60, 866/42, 609/968 is

LCM of Numerators i.e. for 24,866,609 is 2109576

GCF of denominators i.e. for 60,42,968 is 2.

Thus, LCM of Fractions is 1054788.Finally, LCM of Fractions for 24/60, 866/42, 609/968 is 1054788.