Least Common Multiple of 2135/300, 9417/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2135/300, 9417/128 quickly i.e. 20105295/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2135/300, 9417/128 is 20105295/4.

LCM(2135/300, 9417/128) = 20105295/4

LCM of 2135/300, 9417/128

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 2135/300,9417/128

Given numbers are 2135/300,9417/128

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 2135,9417

Least Common Multiple of Numerators i.e. LCM of 2135,9417 is 20105295.

GCF of Denominators means GCF of 300,128 as per the given fractions.

GCF of 300,128 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2135,9417

LCM of Fractions 2135/300,9417/128 is 20105295/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 20105295

Least Common Multiple of 2135,9417 with GCF Formula

Least Common Multiple of 2135,9417 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 2135,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2135,9417) = 1

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

GCF(2135,9417) x common factors =1 x 1 = 1

LCM(2135,9417) = ( 2135 × 9417 ) / 1

LCM(2135,9417) = 20105295 / 1

LCM(2135,9417) = 20105295


Lets's calculate GCF of 300,128

2 300, 128
2 150, 64
75, 32

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20105295/4

Therefore the LCM of Fractions 2135/300,9417/128 is 20105295/4

Greatest Common Factor of 300,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,128 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 300,128 . The biggest common factor number is the GCF number.
So the greatest common factor 300,128 is 4.


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 2135/300, 9417/128

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 2135/300, 9417/128?

Answer: LCM of Numerators as per given numbers 2135/300, 9417/128 is

LCM of Numerators i.e. for 2135,9417 is 20105295

GCF of denominators i.e. for 300,128 is 4.

Thus, LCM of Fractions is 20105295/4.Finally, LCM of Fractions for 2135/300, 9417/128 is 20105295/4.