Least Common Multiple of 336/396, 279/795, 931/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 336/396, 279/795, 931/963 quickly i.e. 1385328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/396, 279/795, 931/963 is 1385328.

LCM(336/396, 279/795, 931/963) = 1385328

LCM of 336/396, 279/795, 931/963

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 336/396,279/795,931/963

Given numbers are 336/396,279/795,931/963

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 336,279,931

Least Common Multiple of Numerators i.e. LCM of 336,279,931 is 4155984.

GCF of Denominators means GCF of 396,795,963 as per the given fractions.

GCF of 396,795,963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,279,931

LCM of Fractions 336/396,279/795,931/963 is 1385328

3 336, 279, 931
7 112, 93, 931
16, 93, 133

∴ So the LCM of the given numbers is 3 x 7 x 16 x 93 x 133 = 4155984

Least Common Multiple of 336,279,931 with GCF Formula

Least Common Multiple of 336,279,931 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 336,279,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,279,931) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(336,279,931) x common factors =1 x 21 = 21

LCM(336,279,931) = ( 336 × 279 × 931 ) / 21

LCM(336,279,931) = 87275664 / 21

LCM(336,279,931) = 4155984


Lets's calculate GCF of 396,795,963

3 396, 795, 963
132, 265, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4155984/3

Therefore the LCM of Fractions 336/396,279/795,931/963 is 1385328

Greatest Common Factor of 396,795,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,795,963 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 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 396,795,963 . The biggest common factor number is the GCF number.
So the greatest common factor 396,795,963 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 336/396, 279/795, 931/963

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 336/396, 279/795, 931/963?

Answer: LCM of Numerators as per given numbers 336/396, 279/795, 931/963 is

LCM of Numerators i.e. for 336,279,931 is 4155984

GCF of denominators i.e. for 396,795,963 is 3.

Thus, LCM of Fractions is 1385328.Finally, LCM of Fractions for 336/396, 279/795, 931/963 is 1385328.