Least Common Multiple of 293/20, 504/1518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/20, 504/1518 quickly i.e. 73836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/20, 504/1518 is 73836.

LCM(293/20, 504/1518) = 73836

LCM of 293/20, 504/1518

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 293/20,504/1518

Given numbers are 293/20,504/1518

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 293,504

Least Common Multiple of Numerators i.e. LCM of 293,504 is 147672.

GCF of Denominators means GCF of 20,1518 as per the given fractions.

GCF of 20,1518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,504

LCM of Fractions 293/20,504/1518 is 73836

Given numbers has no common factors except 1. So, there LCM is their product i.e 147672

Least Common Multiple of 293,504 with GCF Formula

Least Common Multiple of 293,504 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 293,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,504) = 1

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

GCF(293,504) x common factors =1 x 1 = 1

LCM(293,504) = ( 293 × 504 ) / 1

LCM(293,504) = 147672 / 1

LCM(293,504) = 147672


Lets's calculate GCF of 20,1518

2 20, 1518
10, 759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147672/2

Therefore the LCM of Fractions 293/20,504/1518 is 73836

Greatest Common Factor of 20,1518 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,1518 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 1518

List of positive integer factors of 1518 that divides 1518 without a remainder.

1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518

Greatest Common Factor

We found the factors 20,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 20,1518 is 2.


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 293/20, 504/1518

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 293/20, 504/1518?

Answer: LCM of Numerators as per given numbers 293/20, 504/1518 is

LCM of Numerators i.e. for 293,504 is 147672

GCF of denominators i.e. for 20,1518 is 2.

Thus, LCM of Fractions is 73836.Finally, LCM of Fractions for 293/20, 504/1518 is 73836.