Least Common Multiple of 778/396, 8338/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 778/396, 8338/519 quickly i.e. 3243482/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/396, 8338/519 is 3243482/3.

LCM(778/396, 8338/519) = 3243482/3

LCM of 778/396, 8338/519

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 778/396,8338/519

Given numbers are 778/396,8338/519

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 778,8338

Least Common Multiple of Numerators i.e. LCM of 778,8338 is 3243482.

GCF of Denominators means GCF of 396,519 as per the given fractions.

GCF of 396,519 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,8338

LCM of Fractions 778/396,8338/519 is 3243482/3

2 778, 8338
389, 4169

∴ So the LCM of the given numbers is 2 x 389 x 4169 = 3243482

Least Common Multiple of 778,8338 with GCF Formula

Least Common Multiple of 778,8338 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 778,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,8338) = 2

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

GCF(778,8338) x common factors =2 x 1 = 2

LCM(778,8338) = ( 778 × 8338 ) / 2

LCM(778,8338) = 6486964 / 2

LCM(778,8338) = 3243482


Lets's calculate GCF of 396,519

3 396, 519
132, 173

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3243482/3

Therefore the LCM of Fractions 778/396,8338/519 is 3243482/3

Greatest Common Factor of 396,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,519 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 396,519 . The biggest common factor number is the GCF number.
So the greatest common factor 396,519 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 778/396, 8338/519

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 778/396, 8338/519?

Answer: LCM of Numerators as per given numbers 778/396, 8338/519 is

LCM of Numerators i.e. for 778,8338 is 3243482

GCF of denominators i.e. for 396,519 is 3.

Thus, LCM of Fractions is 3243482/3.Finally, LCM of Fractions for 778/396, 8338/519 is 3243482/3.