Least Common Multiple of 24/42, 85/68, 10/40, 19/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/42, 85/68, 10/40, 19/608 quickly i.e. 19380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/42, 85/68, 10/40, 19/608 is 19380.

LCM(24/42, 85/68, 10/40, 19/608) = 19380

LCM of 24/42, 85/68, 10/40, 19/608

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 24/42,85/68,10/40,19/608

Given numbers are 24/42,85/68,10/40,19/608

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 24,85,10,19

Least Common Multiple of Numerators i.e. LCM of 24,85,10,19 is 38760.

GCF of Denominators means GCF of 42,68,40,608 as per the given fractions.

GCF of 42,68,40,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,85,10,19

LCM of Fractions 24/42,85/68,10/40,19/608 is 19380

2 24, 85, 10, 19
5 12, 85, 5, 19
12, 17, 1, 19

∴ So the LCM of the given numbers is 2 x 5 x 12 x 17 x 1 x 19 = 38760

Least Common Multiple of 24,85,10,19 with GCF Formula

Least Common Multiple of 24,85,10,19 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 24,85,10,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,85,10,19) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(24,85,10,19) x common factors =1 x 10 = 10

LCM(24,85,10,19) = ( 24 × 85 × 10 × 19 ) / 10

LCM(24,85,10,19) = 387600 / 10

LCM(24,85,10,19) = 38760


Lets's calculate GCF of 42,68,40,608

2 42, 68, 40, 608
21, 34, 20, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38760/2

Therefore the LCM of Fractions 24/42,85/68,10/40,19/608 is 19380

Greatest Common Factor of 42,68,40,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,68,40,608 By Matching Biggest Common Factor Method

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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 42,68,40,608 . The biggest common factor number is the GCF number.
So the greatest common factor 42,68,40,608 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 24/42, 85/68, 10/40, 19/608

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 24/42, 85/68, 10/40, 19/608?

Answer: LCM of Numerators as per given numbers 24/42, 85/68, 10/40, 19/608 is

LCM of Numerators i.e. for 24,85,10,19 is 38760

GCF of denominators i.e. for 42,68,40,608 is 2.

Thus, LCM of Fractions is 19380.Finally, LCM of Fractions for 24/42, 85/68, 10/40, 19/608 is 19380.