Least Common Multiple of 622/15, 825/23, 205/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 622/15, 825/23, 205/144 quickly i.e. 21039150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/15, 825/23, 205/144 is 21039150.

LCM(622/15, 825/23, 205/144) = 21039150

LCM of 622/15, 825/23, 205/144

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 622/15,825/23,205/144

Given numbers are 622/15,825/23,205/144

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 622,825,205

Least Common Multiple of Numerators i.e. LCM of 622,825,205 is 21039150.

GCF of Denominators means GCF of 15,23,144 as per the given fractions.

GCF of 15,23,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,825,205

LCM of Fractions 622/15,825/23,205/144 is 21039150

5 622, 825, 205
622, 165, 41

∴ So the LCM of the given numbers is 5 x 622 x 165 x 41 = 21039150

Least Common Multiple of 622,825,205 with GCF Formula

Least Common Multiple of 622,825,205 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 622,825,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,825,205) = 1

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

GCF(622,825,205) x common factors =1 x 5 = 5

LCM(622,825,205) = ( 622 × 825 × 205 ) / 5

LCM(622,825,205) = 105195750 / 5

LCM(622,825,205) = 21039150


Lets's calculate GCF of 15,23,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21039150/1

Therefore the LCM of Fractions 622/15,825/23,205/144 is 21039150

Greatest Common Factor of 15,23,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,23,144 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 15,23,144 . The biggest common factor number is the GCF number.
So the greatest common factor 15,23,144 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 622/15, 825/23, 205/144

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 622/15, 825/23, 205/144?

Answer: LCM of Numerators as per given numbers 622/15, 825/23, 205/144 is

LCM of Numerators i.e. for 622,825,205 is 21039150

GCF of denominators i.e. for 15,23,144 is 1.

Thus, LCM of Fractions is 21039150.Finally, LCM of Fractions for 622/15, 825/23, 205/144 is 21039150.