Least Common Multiple of 505/190, 2133/4320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/190, 2133/4320 quickly i.e. 1077165/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/190, 2133/4320 is 1077165/10.

LCM(505/190, 2133/4320) = 1077165/10

LCM of 505/190, 2133/4320

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 505/190,2133/4320

Given numbers are 505/190,2133/4320

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 505,2133

Least Common Multiple of Numerators i.e. LCM of 505,2133 is 1077165.

GCF of Denominators means GCF of 190,4320 as per the given fractions.

GCF of 190,4320 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,2133

LCM of Fractions 505/190,2133/4320 is 1077165/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1077165

Least Common Multiple of 505,2133 with GCF Formula

Least Common Multiple of 505,2133 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 505,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,2133) = 1

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

GCF(505,2133) x common factors =1 x 1 = 1

LCM(505,2133) = ( 505 × 2133 ) / 1

LCM(505,2133) = 1077165 / 1

LCM(505,2133) = 1077165


Lets's calculate GCF of 190,4320

2 190, 4320
5 95, 2160
19, 432

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077165/10

Therefore the LCM of Fractions 505/190,2133/4320 is 1077165/10

Greatest Common Factor of 190,4320 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,4320 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320

Greatest Common Factor

We found the factors 190,4320 . The biggest common factor number is the GCF number.
So the greatest common factor 190,4320 is 10.


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 505/190, 2133/4320

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 505/190, 2133/4320?

Answer: LCM of Numerators as per given numbers 505/190, 2133/4320 is

LCM of Numerators i.e. for 505,2133 is 1077165

GCF of denominators i.e. for 190,4320 is 10.

Thus, LCM of Fractions is 1077165/10.Finally, LCM of Fractions for 505/190, 2133/4320 is 1077165/10.