Least Common Multiple of 5/960, 82/599, 53/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/960, 82/599, 53/425 quickly i.e. 21730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/960, 82/599, 53/425 is 21730.

LCM(5/960, 82/599, 53/425) = 21730

LCM of 5/960, 82/599, 53/425

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 5/960,82/599,53/425

Given numbers are 5/960,82/599,53/425

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 5,82,53

Least Common Multiple of Numerators i.e. LCM of 5,82,53 is 21730.

GCF of Denominators means GCF of 960,599,425 as per the given fractions.

GCF of 960,599,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,82,53

LCM of Fractions 5/960,82/599,53/425 is 21730

Given numbers has no common factors except 1. So, there LCM is their product i.e 21730

Least Common Multiple of 5,82,53 with GCF Formula

Least Common Multiple of 5,82,53 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 5,82,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,82,53) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5,82,53) x common factors =1 x 1 = 1

LCM(5,82,53) = ( 5 × 82 × 53 ) / 1

LCM(5,82,53) = 21730 / 1

LCM(5,82,53) = 21730


Lets's calculate GCF of 960,599,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21730/1

Therefore the LCM of Fractions 5/960,82/599,53/425 is 21730

Greatest Common Factor of 960,599,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,599,425 By Matching Biggest Common Factor Method

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

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 960,599,425 . The biggest common factor number is the GCF number.
So the greatest common factor 960,599,425 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 5/960, 82/599, 53/425

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 5/960, 82/599, 53/425?

Answer: LCM of Numerators as per given numbers 5/960, 82/599, 53/425 is

LCM of Numerators i.e. for 5,82,53 is 21730

GCF of denominators i.e. for 960,599,425 is 1.

Thus, LCM of Fractions is 21730.Finally, LCM of Fractions for 5/960, 82/599, 53/425 is 21730.