Least Common Multiple of 59/75, 20/82, 480/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/75, 20/82, 480/70 quickly i.e. 28320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/75, 20/82, 480/70 is 28320.

LCM(59/75, 20/82, 480/70) = 28320

LCM of 59/75, 20/82, 480/70

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 59/75,20/82,480/70

Given numbers are 59/75,20/82,480/70

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 59,20,480

Least Common Multiple of Numerators i.e. LCM of 59,20,480 is 28320.

GCF of Denominators means GCF of 75,82,70 as per the given fractions.

GCF of 75,82,70 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,20,480

LCM of Fractions 59/75,20/82,480/70 is 28320

2 59, 20, 480
2 59, 10, 240
5 59, 5, 120
59, 1, 24

∴ So the LCM of the given numbers is 2 x 2 x 5 x 59 x 1 x 24 = 28320

Least Common Multiple of 59,20,480 with GCF Formula

Least Common Multiple of 59,20,480 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 59,20,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,20,480) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(59,20,480) x common factors =1 x 20 = 20

LCM(59,20,480) = ( 59 × 20 × 480 ) / 20

LCM(59,20,480) = 566400 / 20

LCM(59,20,480) = 28320


Lets's calculate GCF of 75,82,70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28320/1

Therefore the LCM of Fractions 59/75,20/82,480/70 is 28320

Greatest Common Factor of 75,82,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,82,70 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 75,82,70 . The biggest common factor number is the GCF number.
So the greatest common factor 75,82,70 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 59/75, 20/82, 480/70

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 59/75, 20/82, 480/70?

Answer: LCM of Numerators as per given numbers 59/75, 20/82, 480/70 is

LCM of Numerators i.e. for 59,20,480 is 28320

GCF of denominators i.e. for 75,82,70 is 1.

Thus, LCM of Fractions is 28320.Finally, LCM of Fractions for 59/75, 20/82, 480/70 is 28320.