Least Common Multiple of 399/768, 673/966, 798/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/768, 673/966, 798/504 quickly i.e. 89509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/768, 673/966, 798/504 is 89509.

LCM(399/768, 673/966, 798/504) = 89509

LCM of 399/768, 673/966, 798/504

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 399/768,673/966,798/504

Given numbers are 399/768,673/966,798/504

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 399,673,798

Least Common Multiple of Numerators i.e. LCM of 399,673,798 is 537054.

GCF of Denominators means GCF of 768,966,504 as per the given fractions.

GCF of 768,966,504 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,673,798

LCM of Fractions 399/768,673/966,798/504 is 89509

3 399, 673, 798
7 133, 673, 266
19 19, 673, 38
1, 673, 2

∴ So the LCM of the given numbers is 3 x 7 x 19 x 1 x 673 x 2 = 537054

Least Common Multiple of 399,673,798 with GCF Formula

Least Common Multiple of 399,673,798 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 399,673,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,673,798) = 1

common factors(in case of two or more numbers have common factors) = 399

GCF(399,673,798) x common factors =1 x 399 = 399

LCM(399,673,798) = ( 399 × 673 × 798 ) / 399

LCM(399,673,798) = 214284546 / 399

LCM(399,673,798) = 537054


Lets's calculate GCF of 768,966,504

2 768, 966, 504
3 384, 483, 252
128, 161, 84

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 537054/6

Therefore the LCM of Fractions 399/768,673/966,798/504 is 89509

Greatest Common Factor of 768,966,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,966,504 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 768,966,504 . The biggest common factor number is the GCF number.
So the greatest common factor 768,966,504 is 6.


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 399/768, 673/966, 798/504

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 399/768, 673/966, 798/504?

Answer: LCM of Numerators as per given numbers 399/768, 673/966, 798/504 is

LCM of Numerators i.e. for 399,673,798 is 537054

GCF of denominators i.e. for 768,966,504 is 6.

Thus, LCM of Fractions is 89509.Finally, LCM of Fractions for 399/768, 673/966, 798/504 is 89509.