Least Common Multiple of 128/13, 150/9580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/13, 150/9580 quickly i.e. 9600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/13, 150/9580 is 9600.

LCM(128/13, 150/9580) = 9600

LCM of 128/13, 150/9580

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 128/13,150/9580

Given numbers are 128/13,150/9580

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 128,150

Least Common Multiple of Numerators i.e. LCM of 128,150 is 9600.

GCF of Denominators means GCF of 13,9580 as per the given fractions.

GCF of 13,9580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,150

LCM of Fractions 128/13,150/9580 is 9600

2 128, 150
64, 75

∴ So the LCM of the given numbers is 2 x 64 x 75 = 9600

Least Common Multiple of 128,150 with GCF Formula

Least Common Multiple of 128,150 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 128,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,150) = 2

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

GCF(128,150) x common factors =2 x 1 = 2

LCM(128,150) = ( 128 × 150 ) / 2

LCM(128,150) = 19200 / 2

LCM(128,150) = 9600


Lets's calculate GCF of 13,9580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9600/1

Therefore the LCM of Fractions 128/13,150/9580 is 9600

Greatest Common Factor of 13,9580 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,9580 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1,2,4,5,10,20,479,958,1916,2395,4790,9580

Greatest Common Factor

We found the factors 13,9580 . The biggest common factor number is the GCF number.
So the greatest common factor 13,9580 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 128/13, 150/9580

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 128/13, 150/9580?

Answer: LCM of Numerators as per given numbers 128/13, 150/9580 is

LCM of Numerators i.e. for 128,150 is 9600

GCF of denominators i.e. for 13,9580 is 1.

Thus, LCM of Fractions is 9600.Finally, LCM of Fractions for 128/13, 150/9580 is 9600.