Least Common Multiple of 360/535, 800/380, 459/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/535, 800/380, 459/221 quickly i.e. 367200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/535, 800/380, 459/221 is 367200.

LCM(360/535, 800/380, 459/221) = 367200

LCM of 360/535, 800/380, 459/221

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 360/535,800/380,459/221

Given numbers are 360/535,800/380,459/221

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 360,800,459

Least Common Multiple of Numerators i.e. LCM of 360,800,459 is 367200.

GCF of Denominators means GCF of 535,380,221 as per the given fractions.

GCF of 535,380,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,800,459

LCM of Fractions 360/535,800/380,459/221 is 367200

2 360, 800, 459
2 180, 400, 459
2 90, 200, 459
3 45, 100, 459
3 15, 100, 153
5 5, 100, 51
1, 20, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 20 x 51 = 367200

Least Common Multiple of 360,800,459 with GCF Formula

Least Common Multiple of 360,800,459 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 360,800,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,800,459) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(360,800,459) x common factors =1 x 360 = 360

LCM(360,800,459) = ( 360 × 800 × 459 ) / 360

LCM(360,800,459) = 132192000 / 360

LCM(360,800,459) = 367200


Lets's calculate GCF of 535,380,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367200/1

Therefore the LCM of Fractions 360/535,800/380,459/221 is 367200

Greatest Common Factor of 535,380,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,380,221 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

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 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 535,380,221 . The biggest common factor number is the GCF number.
So the greatest common factor 535,380,221 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 360/535, 800/380, 459/221

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 360/535, 800/380, 459/221?

Answer: LCM of Numerators as per given numbers 360/535, 800/380, 459/221 is

LCM of Numerators i.e. for 360,800,459 is 367200

GCF of denominators i.e. for 535,380,221 is 1.

Thus, LCM of Fractions is 367200.Finally, LCM of Fractions for 360/535, 800/380, 459/221 is 367200.