Least Common Multiple of 1840/225, 9509/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1840/225, 9509/912 quickly i.e. 17496560/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1840/225, 9509/912 is 17496560/3.

LCM(1840/225, 9509/912) = 17496560/3

LCM of 1840/225, 9509/912

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 1840/225,9509/912

Given numbers are 1840/225,9509/912

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 1840,9509

Least Common Multiple of Numerators i.e. LCM of 1840,9509 is 17496560.

GCF of Denominators means GCF of 225,912 as per the given fractions.

GCF of 225,912 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1840,9509

LCM of Fractions 1840/225,9509/912 is 17496560/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 17496560

Least Common Multiple of 1840,9509 with GCF Formula

Least Common Multiple of 1840,9509 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 1840,9509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1840,9509) = 1

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

GCF(1840,9509) x common factors =1 x 1 = 1

LCM(1840,9509) = ( 1840 × 9509 ) / 1

LCM(1840,9509) = 17496560 / 1

LCM(1840,9509) = 17496560


Lets's calculate GCF of 225,912

3 225, 912
75, 304

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17496560/3

Therefore the LCM of Fractions 1840/225,9509/912 is 17496560/3

Greatest Common Factor of 225,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,912 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 225,912 . The biggest common factor number is the GCF number.
So the greatest common factor 225,912 is 3.


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 1840/225, 9509/912

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 1840/225, 9509/912?

Answer: LCM of Numerators as per given numbers 1840/225, 9509/912 is

LCM of Numerators i.e. for 1840,9509 is 17496560

GCF of denominators i.e. for 225,912 is 3.

Thus, LCM of Fractions is 17496560/3.Finally, LCM of Fractions for 1840/225, 9509/912 is 17496560/3.