Least Common Multiple of 515/23, 749/21, 494/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/23, 749/21, 494/665 quickly i.e. 190553090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/23, 749/21, 494/665 is 190553090.

LCM(515/23, 749/21, 494/665) = 190553090

LCM of 515/23, 749/21, 494/665

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 515/23,749/21,494/665

Given numbers are 515/23,749/21,494/665

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 515,749,494

Least Common Multiple of Numerators i.e. LCM of 515,749,494 is 190553090.

GCF of Denominators means GCF of 23,21,665 as per the given fractions.

GCF of 23,21,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,749,494

LCM of Fractions 515/23,749/21,494/665 is 190553090

Given numbers has no common factors except 1. So, there LCM is their product i.e 190553090

Least Common Multiple of 515,749,494 with GCF Formula

Least Common Multiple of 515,749,494 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 515,749,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,749,494) = 1

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

GCF(515,749,494) x common factors =1 x 1 = 1

LCM(515,749,494) = ( 515 × 749 × 494 ) / 1

LCM(515,749,494) = 190553090 / 1

LCM(515,749,494) = 190553090


Lets's calculate GCF of 23,21,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190553090/1

Therefore the LCM of Fractions 515/23,749/21,494/665 is 190553090

Greatest Common Factor of 23,21,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,21,665 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 23,21,665 . The biggest common factor number is the GCF number.
So the greatest common factor 23,21,665 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 515/23, 749/21, 494/665

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 515/23, 749/21, 494/665?

Answer: LCM of Numerators as per given numbers 515/23, 749/21, 494/665 is

LCM of Numerators i.e. for 515,749,494 is 190553090

GCF of denominators i.e. for 23,21,665 is 1.

Thus, LCM of Fractions is 190553090.Finally, LCM of Fractions for 515/23, 749/21, 494/665 is 190553090.