Least Common Multiple of 24/90, 20/42, 75/14, 61/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/90, 20/42, 75/14, 61/796 quickly i.e. 18300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/90, 20/42, 75/14, 61/796 is 18300.

LCM(24/90, 20/42, 75/14, 61/796) = 18300

LCM of 24/90, 20/42, 75/14, 61/796

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 24/90,20/42,75/14,61/796

Given numbers are 24/90,20/42,75/14,61/796

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 24,20,75,61

Least Common Multiple of Numerators i.e. LCM of 24,20,75,61 is 36600.

GCF of Denominators means GCF of 90,42,14,796 as per the given fractions.

GCF of 90,42,14,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,20,75,61

LCM of Fractions 24/90,20/42,75/14,61/796 is 18300

2 24, 20, 75, 61
2 12, 10, 75, 61
3 6, 5, 75, 61
5 2, 5, 25, 61
2, 1, 5, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 1 x 5 x 61 = 36600

Least Common Multiple of 24,20,75,61 with GCF Formula

Least Common Multiple of 24,20,75,61 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 24,20,75,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,20,75,61) = 1

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

GCF(24,20,75,61) x common factors =1 x 60 = 60

LCM(24,20,75,61) = ( 24 × 20 × 75 × 61 ) / 60

LCM(24,20,75,61) = 2196000 / 60

LCM(24,20,75,61) = 36600


Lets's calculate GCF of 90,42,14,796

2 90, 42, 14, 796
45, 21, 7, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36600/2

Therefore the LCM of Fractions 24/90,20/42,75/14,61/796 is 18300

Greatest Common Factor of 90,42,14,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,42,14,796 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 90,42,14,796 . The biggest common factor number is the GCF number.
So the greatest common factor 90,42,14,796 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 24/90, 20/42, 75/14, 61/796

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 24/90, 20/42, 75/14, 61/796?

Answer: LCM of Numerators as per given numbers 24/90, 20/42, 75/14, 61/796 is

LCM of Numerators i.e. for 24,20,75,61 is 36600

GCF of denominators i.e. for 90,42,14,796 is 2.

Thus, LCM of Fractions is 18300.Finally, LCM of Fractions for 24/90, 20/42, 75/14, 61/796 is 18300.