Least Common Multiple of 505/11, 878/24, 621/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 505/11, 878/24, 621/191 quickly i.e. 275345190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/11, 878/24, 621/191 is 275345190.

LCM(505/11, 878/24, 621/191) = 275345190

LCM of 505/11, 878/24, 621/191

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 505/11,878/24,621/191

Given numbers are 505/11,878/24,621/191

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 505,878,621

Least Common Multiple of Numerators i.e. LCM of 505,878,621 is 275345190.

GCF of Denominators means GCF of 11,24,191 as per the given fractions.

GCF of 11,24,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,878,621

LCM of Fractions 505/11,878/24,621/191 is 275345190

Given numbers has no common factors except 1. So, there LCM is their product i.e 275345190

Least Common Multiple of 505,878,621 with GCF Formula

Least Common Multiple of 505,878,621 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 505,878,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,878,621) = 1

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

GCF(505,878,621) x common factors =1 x 1 = 1

LCM(505,878,621) = ( 505 × 878 × 621 ) / 1

LCM(505,878,621) = 275345190 / 1

LCM(505,878,621) = 275345190


Lets's calculate GCF of 11,24,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275345190/1

Therefore the LCM of Fractions 505/11,878/24,621/191 is 275345190

Greatest Common Factor of 11,24,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,24,191 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 11,24,191 . The biggest common factor number is the GCF number.
So the greatest common factor 11,24,191 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 505/11, 878/24, 621/191

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 505/11, 878/24, 621/191?

Answer: LCM of Numerators as per given numbers 505/11, 878/24, 621/191 is

LCM of Numerators i.e. for 505,878,621 is 275345190

GCF of denominators i.e. for 11,24,191 is 1.

Thus, LCM of Fractions is 275345190.Finally, LCM of Fractions for 505/11, 878/24, 621/191 is 275345190.