Least Common Multiple of 9265/225, 4600/1883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9265/225, 4600/1883 quickly i.e. 8523800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9265/225, 4600/1883 is 8523800.

LCM(9265/225, 4600/1883) = 8523800

LCM of 9265/225, 4600/1883

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 9265/225,4600/1883

Given numbers are 9265/225,4600/1883

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 9265,4600

Least Common Multiple of Numerators i.e. LCM of 9265,4600 is 8523800.

GCF of Denominators means GCF of 225,1883 as per the given fractions.

GCF of 225,1883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9265,4600

LCM of Fractions 9265/225,4600/1883 is 8523800

5 9265, 4600
1853, 920

∴ So the LCM of the given numbers is 5 x 1853 x 920 = 8523800

Least Common Multiple of 9265,4600 with GCF Formula

Least Common Multiple of 9265,4600 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 9265,4600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9265,4600) = 5

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

GCF(9265,4600) x common factors =5 x 1 = 5

LCM(9265,4600) = ( 9265 × 4600 ) / 5

LCM(9265,4600) = 42619000 / 5

LCM(9265,4600) = 8523800


Lets's calculate GCF of 225,1883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8523800/1

Therefore the LCM of Fractions 9265/225,4600/1883 is 8523800

Greatest Common Factor of 225,1883 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,1883 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 1883

List of positive integer factors of 1883 that divides 1883 without a remainder.

1,7,269,1883

Greatest Common Factor

We found the factors 225,1883 . The biggest common factor number is the GCF number.
So the greatest common factor 225,1883 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 9265/225, 4600/1883

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 9265/225, 4600/1883?

Answer: LCM of Numerators as per given numbers 9265/225, 4600/1883 is

LCM of Numerators i.e. for 9265,4600 is 8523800

GCF of denominators i.e. for 225,1883 is 1.

Thus, LCM of Fractions is 8523800.Finally, LCM of Fractions for 9265/225, 4600/1883 is 8523800.