Least Common Multiple of 863/951, 936/817, 396/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 863/951, 936/817, 396/309 quickly i.e. 8885448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/951, 936/817, 396/309 is 8885448.

LCM(863/951, 936/817, 396/309) = 8885448

LCM of 863/951, 936/817, 396/309

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 863/951,936/817,396/309

Given numbers are 863/951,936/817,396/309

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 863,936,396

Least Common Multiple of Numerators i.e. LCM of 863,936,396 is 8885448.

GCF of Denominators means GCF of 951,817,309 as per the given fractions.

GCF of 951,817,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,936,396

LCM of Fractions 863/951,936/817,396/309 is 8885448

2 863, 936, 396
2 863, 468, 198
3 863, 234, 99
3 863, 78, 33
863, 26, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 863 x 26 x 11 = 8885448

Least Common Multiple of 863,936,396 with GCF Formula

Least Common Multiple of 863,936,396 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 863,936,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,936,396) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(863,936,396) x common factors =1 x 36 = 36

LCM(863,936,396) = ( 863 × 936 × 396 ) / 36

LCM(863,936,396) = 319876128 / 36

LCM(863,936,396) = 8885448


Lets's calculate GCF of 951,817,309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8885448/1

Therefore the LCM of Fractions 863/951,936/817,396/309 is 8885448

Greatest Common Factor of 951,817,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,817,309 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 951,817,309 . The biggest common factor number is the GCF number.
So the greatest common factor 951,817,309 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 863/951, 936/817, 396/309

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 863/951, 936/817, 396/309?

Answer: LCM of Numerators as per given numbers 863/951, 936/817, 396/309 is

LCM of Numerators i.e. for 863,936,396 is 8885448

GCF of denominators i.e. for 951,817,309 is 1.

Thus, LCM of Fractions is 8885448.Finally, LCM of Fractions for 863/951, 936/817, 396/309 is 8885448.