Least Common Multiple of 36/690, 2517/1993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/690, 2517/1993 quickly i.e. 30204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/690, 2517/1993 is 30204.

LCM(36/690, 2517/1993) = 30204

LCM of 36/690, 2517/1993

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 36/690,2517/1993

Given numbers are 36/690,2517/1993

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 36,2517

Least Common Multiple of Numerators i.e. LCM of 36,2517 is 30204.

GCF of Denominators means GCF of 690,1993 as per the given fractions.

GCF of 690,1993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,2517

LCM of Fractions 36/690,2517/1993 is 30204

3 36, 2517
12, 839

∴ So the LCM of the given numbers is 3 x 12 x 839 = 30204

Least Common Multiple of 36,2517 with GCF Formula

Least Common Multiple of 36,2517 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 36,2517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,2517) = 3

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

GCF(36,2517) x common factors =3 x 1 = 3

LCM(36,2517) = ( 36 × 2517 ) / 3

LCM(36,2517) = 90612 / 3

LCM(36,2517) = 30204


Lets's calculate GCF of 690,1993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30204/1

Therefore the LCM of Fractions 36/690,2517/1993 is 30204

Greatest Common Factor of 690,1993 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,1993 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 1993

List of positive integer factors of 1993 that divides 1993 without a remainder.

1,1993

Greatest Common Factor

We found the factors 690,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 690,1993 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 36/690, 2517/1993

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 36/690, 2517/1993?

Answer: LCM of Numerators as per given numbers 36/690, 2517/1993 is

LCM of Numerators i.e. for 36,2517 is 30204

GCF of denominators i.e. for 690,1993 is 1.

Thus, LCM of Fractions is 30204.Finally, LCM of Fractions for 36/690, 2517/1993 is 30204.