Least Common Multiple of 2845/195, 2435/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2845/195, 2435/300 quickly i.e. 1385515/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2845/195, 2435/300 is 1385515/15.

LCM(2845/195, 2435/300) = 1385515/15

LCM of 2845/195, 2435/300

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 2845/195,2435/300

Given numbers are 2845/195,2435/300

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 2845,2435

Least Common Multiple of Numerators i.e. LCM of 2845,2435 is 1385515.

GCF of Denominators means GCF of 195,300 as per the given fractions.

GCF of 195,300 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2845,2435

LCM of Fractions 2845/195,2435/300 is 1385515/15

5 2845, 2435
569, 487

∴ So the LCM of the given numbers is 5 x 569 x 487 = 1385515

Least Common Multiple of 2845,2435 with GCF Formula

Least Common Multiple of 2845,2435 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 2845,2435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2845,2435) = 5

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

GCF(2845,2435) x common factors =5 x 1 = 5

LCM(2845,2435) = ( 2845 × 2435 ) / 5

LCM(2845,2435) = 6927575 / 5

LCM(2845,2435) = 1385515


Lets's calculate GCF of 195,300

3 195, 300
5 65, 100
13, 20

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1385515/15

Therefore the LCM of Fractions 2845/195,2435/300 is 1385515/15

Greatest Common Factor of 195,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,300 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

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

Greatest Common Factor

We found the factors 195,300 . The biggest common factor number is the GCF number.
So the greatest common factor 195,300 is 15.


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 2845/195, 2435/300

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 2845/195, 2435/300?

Answer: LCM of Numerators as per given numbers 2845/195, 2435/300 is

LCM of Numerators i.e. for 2845,2435 is 1385515

GCF of denominators i.e. for 195,300 is 15.

Thus, LCM of Fractions is 1385515/15.Finally, LCM of Fractions for 2845/195, 2435/300 is 1385515/15.