Least Common Multiple of 824/40, 390/22, 494/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/40, 390/22, 494/603 quickly i.e. 3052920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/40, 390/22, 494/603 is 3052920.

LCM(824/40, 390/22, 494/603) = 3052920

LCM of 824/40, 390/22, 494/603

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 824/40,390/22,494/603

Given numbers are 824/40,390/22,494/603

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 824,390,494

Least Common Multiple of Numerators i.e. LCM of 824,390,494 is 3052920.

GCF of Denominators means GCF of 40,22,603 as per the given fractions.

GCF of 40,22,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,390,494

LCM of Fractions 824/40,390/22,494/603 is 3052920

2 824, 390, 494
13 412, 195, 247
412, 15, 19

∴ So the LCM of the given numbers is 2 x 13 x 412 x 15 x 19 = 3052920

Least Common Multiple of 824,390,494 with GCF Formula

Least Common Multiple of 824,390,494 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 824,390,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,390,494) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(824,390,494) x common factors =2 x 26 = 52

LCM(824,390,494) = ( 824 × 390 × 494 ) / 52

LCM(824,390,494) = 158751840 / 52

LCM(824,390,494) = 3052920


Lets's calculate GCF of 40,22,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3052920/1

Therefore the LCM of Fractions 824/40,390/22,494/603 is 3052920

Greatest Common Factor of 40,22,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,22,603 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 40,22,603 . The biggest common factor number is the GCF number.
So the greatest common factor 40,22,603 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 824/40, 390/22, 494/603

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 824/40, 390/22, 494/603?

Answer: LCM of Numerators as per given numbers 824/40, 390/22, 494/603 is

LCM of Numerators i.e. for 824,390,494 is 3052920

GCF of denominators i.e. for 40,22,603 is 1.

Thus, LCM of Fractions is 3052920.Finally, LCM of Fractions for 824/40, 390/22, 494/603 is 3052920.