Least Common Multiple of 234/40, 504/73, 599/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/40, 504/73, 599/461 quickly i.e. 3924648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/40, 504/73, 599/461 is 3924648.

LCM(234/40, 504/73, 599/461) = 3924648

LCM of 234/40, 504/73, 599/461

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 234/40,504/73,599/461

Given numbers are 234/40,504/73,599/461

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 234,504,599

Least Common Multiple of Numerators i.e. LCM of 234,504,599 is 3924648.

GCF of Denominators means GCF of 40,73,461 as per the given fractions.

GCF of 40,73,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,504,599

LCM of Fractions 234/40,504/73,599/461 is 3924648

2 234, 504, 599
3 117, 252, 599
3 39, 84, 599
13, 28, 599

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 28 x 599 = 3924648

Least Common Multiple of 234,504,599 with GCF Formula

Least Common Multiple of 234,504,599 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 234,504,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,504,599) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(234,504,599) x common factors =1 x 18 = 18

LCM(234,504,599) = ( 234 × 504 × 599 ) / 18

LCM(234,504,599) = 70643664 / 18

LCM(234,504,599) = 3924648


Lets's calculate GCF of 40,73,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3924648/1

Therefore the LCM of Fractions 234/40,504/73,599/461 is 3924648

Greatest Common Factor of 40,73,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,73,461 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 40,73,461 . The biggest common factor number is the GCF number.
So the greatest common factor 40,73,461 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 234/40, 504/73, 599/461

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 234/40, 504/73, 599/461?

Answer: LCM of Numerators as per given numbers 234/40, 504/73, 599/461 is

LCM of Numerators i.e. for 234,504,599 is 3924648

GCF of denominators i.e. for 40,73,461 is 1.

Thus, LCM of Fractions is 3924648.Finally, LCM of Fractions for 234/40, 504/73, 599/461 is 3924648.