Least Common Multiple of 225/380, 145/866, 945/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/380, 145/866, 945/660 quickly i.e. 137025/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/380, 145/866, 945/660 is 137025/2.

LCM(225/380, 145/866, 945/660) = 137025/2

LCM of 225/380, 145/866, 945/660

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 225/380,145/866,945/660

Given numbers are 225/380,145/866,945/660

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 225,145,945

Least Common Multiple of Numerators i.e. LCM of 225,145,945 is 137025.

GCF of Denominators means GCF of 380,866,660 as per the given fractions.

GCF of 380,866,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,145,945

LCM of Fractions 225/380,145/866,945/660 is 137025/2

3 225, 145, 945
3 75, 145, 315
5 25, 145, 105
5, 29, 21

∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 29 x 21 = 137025

Least Common Multiple of 225,145,945 with GCF Formula

Least Common Multiple of 225,145,945 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 225,145,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,145,945) = 5

common factors(in case of two or more numbers have common factors) = 45

GCF(225,145,945) x common factors =5 x 45 = 225

LCM(225,145,945) = ( 225 × 145 × 945 ) / 225

LCM(225,145,945) = 30830625 / 225

LCM(225,145,945) = 137025


Lets's calculate GCF of 380,866,660

2 380, 866, 660
190, 433, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137025/2

Therefore the LCM of Fractions 225/380,145/866,945/660 is 137025/2

Greatest Common Factor of 380,866,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,866,660 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 380,866,660 . The biggest common factor number is the GCF number.
So the greatest common factor 380,866,660 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 225/380, 145/866, 945/660

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 225/380, 145/866, 945/660?

Answer: LCM of Numerators as per given numbers 225/380, 145/866, 945/660 is

LCM of Numerators i.e. for 225,145,945 is 137025

GCF of denominators i.e. for 380,866,660 is 2.

Thus, LCM of Fractions is 137025/2.Finally, LCM of Fractions for 225/380, 145/866, 945/660 is 137025/2.