Least Common Multiple of 396/72, 935/18, 279/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/72, 935/18, 279/518 quickly i.e. 521730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/72, 935/18, 279/518 is 521730.

LCM(396/72, 935/18, 279/518) = 521730

LCM of 396/72, 935/18, 279/518

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 396/72,935/18,279/518

Given numbers are 396/72,935/18,279/518

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 396,935,279

Least Common Multiple of Numerators i.e. LCM of 396,935,279 is 1043460.

GCF of Denominators means GCF of 72,18,518 as per the given fractions.

GCF of 72,18,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,935,279

LCM of Fractions 396/72,935/18,279/518 is 521730

3 396, 935, 279
3 132, 935, 93
11 44, 935, 31
4, 85, 31

∴ So the LCM of the given numbers is 3 x 3 x 11 x 4 x 85 x 31 = 1043460

Least Common Multiple of 396,935,279 with GCF Formula

Least Common Multiple of 396,935,279 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 396,935,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,935,279) = 1

common factors(in case of two or more numbers have common factors) = 99

GCF(396,935,279) x common factors =1 x 99 = 99

LCM(396,935,279) = ( 396 × 935 × 279 ) / 99

LCM(396,935,279) = 103302540 / 99

LCM(396,935,279) = 1043460


Lets's calculate GCF of 72,18,518

2 72, 18, 518
36, 9, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1043460/2

Therefore the LCM of Fractions 396/72,935/18,279/518 is 521730

Greatest Common Factor of 72,18,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,18,518 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 72,18,518 . The biggest common factor number is the GCF number.
So the greatest common factor 72,18,518 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 396/72, 935/18, 279/518

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 396/72, 935/18, 279/518?

Answer: LCM of Numerators as per given numbers 396/72, 935/18, 279/518 is

LCM of Numerators i.e. for 396,935,279 is 1043460

GCF of denominators i.e. for 72,18,518 is 2.

Thus, LCM of Fractions is 521730.Finally, LCM of Fractions for 396/72, 935/18, 279/518 is 521730.