Least Common Multiple of 50/960, 13/602, 270/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/960, 13/602, 270/576 quickly i.e. 8775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/960, 13/602, 270/576 is 8775.

LCM(50/960, 13/602, 270/576) = 8775

LCM of 50/960, 13/602, 270/576

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 50/960,13/602,270/576

Given numbers are 50/960,13/602,270/576

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 50,13,270

Least Common Multiple of Numerators i.e. LCM of 50,13,270 is 17550.

GCF of Denominators means GCF of 960,602,576 as per the given fractions.

GCF of 960,602,576 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,13,270

LCM of Fractions 50/960,13/602,270/576 is 8775

2 50, 13, 270
5 25, 13, 135
5, 13, 27

∴ So the LCM of the given numbers is 2 x 5 x 5 x 13 x 27 = 17550

Least Common Multiple of 50,13,270 with GCF Formula

Least Common Multiple of 50,13,270 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 50,13,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,13,270) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(50,13,270) x common factors =1 x 10 = 10

LCM(50,13,270) = ( 50 × 13 × 270 ) / 10

LCM(50,13,270) = 175500 / 10

LCM(50,13,270) = 17550


Lets's calculate GCF of 960,602,576

2 960, 602, 576
480, 301, 288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17550/2

Therefore the LCM of Fractions 50/960,13/602,270/576 is 8775

Greatest Common Factor of 960,602,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,602,576 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 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 960,602,576 . The biggest common factor number is the GCF number.
So the greatest common factor 960,602,576 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 50/960, 13/602, 270/576

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 50/960, 13/602, 270/576?

Answer: LCM of Numerators as per given numbers 50/960, 13/602, 270/576 is

LCM of Numerators i.e. for 50,13,270 is 17550

GCF of denominators i.e. for 960,602,576 is 2.

Thus, LCM of Fractions is 8775.Finally, LCM of Fractions for 50/960, 13/602, 270/576 is 8775.