Least Common Multiple of 36/253, 20/489, 415/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/253, 20/489, 415/734 quickly i.e. 14940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/253, 20/489, 415/734 is 14940.

LCM(36/253, 20/489, 415/734) = 14940

LCM of 36/253, 20/489, 415/734

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 36/253,20/489,415/734

Given numbers are 36/253,20/489,415/734

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 36,20,415

Least Common Multiple of Numerators i.e. LCM of 36,20,415 is 14940.

GCF of Denominators means GCF of 253,489,734 as per the given fractions.

GCF of 253,489,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,20,415

LCM of Fractions 36/253,20/489,415/734 is 14940

2 36, 20, 415
2 18, 10, 415
5 9, 5, 415
9, 1, 83

∴ So the LCM of the given numbers is 2 x 2 x 5 x 9 x 1 x 83 = 14940

Least Common Multiple of 36,20,415 with GCF Formula

Least Common Multiple of 36,20,415 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 36,20,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,20,415) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(36,20,415) x common factors =1 x 20 = 20

LCM(36,20,415) = ( 36 × 20 × 415 ) / 20

LCM(36,20,415) = 298800 / 20

LCM(36,20,415) = 14940


Lets's calculate GCF of 253,489,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14940/1

Therefore the LCM of Fractions 36/253,20/489,415/734 is 14940

Greatest Common Factor of 253,489,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,489,734 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 253,489,734 . The biggest common factor number is the GCF number.
So the greatest common factor 253,489,734 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 36/253, 20/489, 415/734

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 36/253, 20/489, 415/734?

Answer: LCM of Numerators as per given numbers 36/253, 20/489, 415/734 is

LCM of Numerators i.e. for 36,20,415 is 14940

GCF of denominators i.e. for 253,489,734 is 1.

Thus, LCM of Fractions is 14940.Finally, LCM of Fractions for 36/253, 20/489, 415/734 is 14940.