Least Common Multiple of 75/24, 48/15, 87/35, 20/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/24, 48/15, 87/35, 20/891 quickly i.e. 34800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/24, 48/15, 87/35, 20/891 is 34800.

LCM(75/24, 48/15, 87/35, 20/891) = 34800

LCM of 75/24, 48/15, 87/35, 20/891

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 75/24,48/15,87/35,20/891

Given numbers are 75/24,48/15,87/35,20/891

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 75,48,87,20

Least Common Multiple of Numerators i.e. LCM of 75,48,87,20 is 34800.

GCF of Denominators means GCF of 24,15,35,891 as per the given fractions.

GCF of 24,15,35,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,48,87,20

LCM of Fractions 75/24,48/15,87/35,20/891 is 34800

2 75, 48, 87, 20
2 75, 24, 87, 10
3 75, 12, 87, 5
5 25, 4, 29, 5
1, 4, 29, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 4 x 29 x 5 = 34800

Least Common Multiple of 75,48,87,20 with GCF Formula

Least Common Multiple of 75,48,87,20 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 75,48,87,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,48,87,20) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(75,48,87,20) x common factors =1 x 180 = 180

LCM(75,48,87,20) = ( 75 × 48 × 87 × 20 ) / 180

LCM(75,48,87,20) = 6264000 / 180

LCM(75,48,87,20) = 34800


Lets's calculate GCF of 24,15,35,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34800/1

Therefore the LCM of Fractions 75/24,48/15,87/35,20/891 is 34800

Greatest Common Factor of 24,15,35,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,15,35,891 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 24,15,35,891 . The biggest common factor number is the GCF number.
So the greatest common factor 24,15,35,891 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 75/24, 48/15, 87/35, 20/891

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 75/24, 48/15, 87/35, 20/891?

Answer: LCM of Numerators as per given numbers 75/24, 48/15, 87/35, 20/891 is

LCM of Numerators i.e. for 75,48,87,20 is 34800

GCF of denominators i.e. for 24,15,35,891 is 1.

Thus, LCM of Fractions is 34800.Finally, LCM of Fractions for 75/24, 48/15, 87/35, 20/891 is 34800.