Least Common Multiple of 805/188, 9209/4540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/188, 9209/4540 quickly i.e. 7413245/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/188, 9209/4540 is 7413245/4.

LCM(805/188, 9209/4540) = 7413245/4

LCM of 805/188, 9209/4540

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 805/188,9209/4540

Given numbers are 805/188,9209/4540

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 805,9209

Least Common Multiple of Numerators i.e. LCM of 805,9209 is 7413245.

GCF of Denominators means GCF of 188,4540 as per the given fractions.

GCF of 188,4540 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,9209

LCM of Fractions 805/188,9209/4540 is 7413245/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 7413245

Least Common Multiple of 805,9209 with GCF Formula

Least Common Multiple of 805,9209 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 805,9209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,9209) = 1

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

GCF(805,9209) x common factors =1 x 1 = 1

LCM(805,9209) = ( 805 × 9209 ) / 1

LCM(805,9209) = 7413245 / 1

LCM(805,9209) = 7413245


Lets's calculate GCF of 188,4540

2 188, 4540
2 94, 2270
47, 1135

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7413245/4

Therefore the LCM of Fractions 805/188,9209/4540 is 7413245/4

Greatest Common Factor of 188,4540 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,4540 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1,2,4,5,10,20,227,454,908,1135,2270,4540

Greatest Common Factor

We found the factors 188,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 188,4540 is 4.


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 805/188, 9209/4540

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 805/188, 9209/4540?

Answer: LCM of Numerators as per given numbers 805/188, 9209/4540 is

LCM of Numerators i.e. for 805,9209 is 7413245

GCF of denominators i.e. for 188,4540 is 4.

Thus, LCM of Fractions is 7413245/4.Finally, LCM of Fractions for 805/188, 9209/4540 is 7413245/4.