Least Common Multiple of 25/930, 64/826, 205/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/930, 64/826, 205/822 quickly i.e. 32800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/930, 64/826, 205/822 is 32800.

LCM(25/930, 64/826, 205/822) = 32800

LCM of 25/930, 64/826, 205/822

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 25/930,64/826,205/822

Given numbers are 25/930,64/826,205/822

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 25,64,205

Least Common Multiple of Numerators i.e. LCM of 25,64,205 is 65600.

GCF of Denominators means GCF of 930,826,822 as per the given fractions.

GCF of 930,826,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,64,205

LCM of Fractions 25/930,64/826,205/822 is 32800

5 25, 64, 205
5, 64, 41

∴ So the LCM of the given numbers is 5 x 5 x 64 x 41 = 65600

Least Common Multiple of 25,64,205 with GCF Formula

Least Common Multiple of 25,64,205 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 25,64,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,64,205) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,64,205) x common factors =1 x 5 = 5

LCM(25,64,205) = ( 25 × 64 × 205 ) / 5

LCM(25,64,205) = 328000 / 5

LCM(25,64,205) = 65600


Lets's calculate GCF of 930,826,822

2 930, 826, 822
465, 413, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65600/2

Therefore the LCM of Fractions 25/930,64/826,205/822 is 32800

Greatest Common Factor of 930,826,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,826,822 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 930,826,822 . The biggest common factor number is the GCF number.
So the greatest common factor 930,826,822 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 25/930, 64/826, 205/822

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 25/930, 64/826, 205/822?

Answer: LCM of Numerators as per given numbers 25/930, 64/826, 205/822 is

LCM of Numerators i.e. for 25,64,205 is 65600

GCF of denominators i.e. for 930,826,822 is 2.

Thus, LCM of Fractions is 32800.Finally, LCM of Fractions for 25/930, 64/826, 205/822 is 32800.