Least Common Multiple of 75/195, 823/216, 649/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/195, 823/216, 649/890 quickly i.e. 40059525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/195, 823/216, 649/890 is 40059525.

LCM(75/195, 823/216, 649/890) = 40059525

LCM of 75/195, 823/216, 649/890

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 75/195,823/216,649/890

Given numbers are 75/195,823/216,649/890

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 75,823,649

Least Common Multiple of Numerators i.e. LCM of 75,823,649 is 40059525.

GCF of Denominators means GCF of 195,216,890 as per the given fractions.

GCF of 195,216,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,823,649

LCM of Fractions 75/195,823/216,649/890 is 40059525

Given numbers has no common factors except 1. So, there LCM is their product i.e 40059525

Least Common Multiple of 75,823,649 with GCF Formula

Least Common Multiple of 75,823,649 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 75,823,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,823,649) = 1

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

GCF(75,823,649) x common factors =1 x 1 = 1

LCM(75,823,649) = ( 75 × 823 × 649 ) / 1

LCM(75,823,649) = 40059525 / 1

LCM(75,823,649) = 40059525


Lets's calculate GCF of 195,216,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40059525/1

Therefore the LCM of Fractions 75/195,823/216,649/890 is 40059525

Greatest Common Factor of 195,216,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,216,890 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 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 195,216,890 . The biggest common factor number is the GCF number.
So the greatest common factor 195,216,890 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 75/195, 823/216, 649/890

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 75/195, 823/216, 649/890?

Answer: LCM of Numerators as per given numbers 75/195, 823/216, 649/890 is

LCM of Numerators i.e. for 75,823,649 is 40059525

GCF of denominators i.e. for 195,216,890 is 1.

Thus, LCM of Fractions is 40059525.Finally, LCM of Fractions for 75/195, 823/216, 649/890 is 40059525.