Least Common Multiple of 8/65, 3/75, 15/85, 30/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/65, 3/75, 15/85, 30/960 quickly i.e. 24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/65, 3/75, 15/85, 30/960 is 24.

LCM(8/65, 3/75, 15/85, 30/960) = 24

LCM of 8/65, 3/75, 15/85, 30/960

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 8/65,3/75,15/85,30/960

Given numbers are 8/65,3/75,15/85,30/960

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 8,3,15,30

Least Common Multiple of Numerators i.e. LCM of 8,3,15,30 is 120.

GCF of Denominators means GCF of 65,75,85,960 as per the given fractions.

GCF of 65,75,85,960 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,3,15,30

LCM of Fractions 8/65,3/75,15/85,30/960 is 24

2 8, 3, 15, 30
3 4, 3, 15, 15
5 4, 1, 5, 5
4, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 1 x 1 x 1 = 120

Least Common Multiple of 8,3,15,30 with GCF Formula

Least Common Multiple of 8,3,15,30 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 8,3,15,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,3,15,30) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(8,3,15,30) x common factors =1 x 90 = 90

LCM(8,3,15,30) = ( 8 × 3 × 15 × 30 ) / 90

LCM(8,3,15,30) = 10800 / 90

LCM(8,3,15,30) = 120


Lets's calculate GCF of 65,75,85,960

5 65, 75, 85, 960
13, 15, 17, 192

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120/5

Therefore the LCM of Fractions 8/65,3/75,15/85,30/960 is 24

Greatest Common Factor of 65,75,85,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,75,85,960 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 65,75,85,960 . The biggest common factor number is the GCF number.
So the greatest common factor 65,75,85,960 is 5.


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 8/65, 3/75, 15/85, 30/960

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 8/65, 3/75, 15/85, 30/960?

Answer: LCM of Numerators as per given numbers 8/65, 3/75, 15/85, 30/960 is

LCM of Numerators i.e. for 8,3,15,30 is 120

GCF of denominators i.e. for 65,75,85,960 is 5.

Thus, LCM of Fractions is 24.Finally, LCM of Fractions for 8/65, 3/75, 15/85, 30/960 is 24.