Least Common Multiple of 75/342, 796/384, 669/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/342, 796/384, 669/404 quickly i.e. 6656550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/342, 796/384, 669/404 is 6656550.

LCM(75/342, 796/384, 669/404) = 6656550

LCM of 75/342, 796/384, 669/404

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 75/342,796/384,669/404

Given numbers are 75/342,796/384,669/404

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 75,796,669

Least Common Multiple of Numerators i.e. LCM of 75,796,669 is 13313100.

GCF of Denominators means GCF of 342,384,404 as per the given fractions.

GCF of 342,384,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,796,669

LCM of Fractions 75/342,796/384,669/404 is 6656550

3 75, 796, 669
25, 796, 223

∴ So the LCM of the given numbers is 3 x 25 x 796 x 223 = 13313100

Least Common Multiple of 75,796,669 with GCF Formula

Least Common Multiple of 75,796,669 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 75,796,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,796,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,796,669) x common factors =1 x 3 = 3

LCM(75,796,669) = ( 75 × 796 × 669 ) / 3

LCM(75,796,669) = 39939300 / 3

LCM(75,796,669) = 13313100


Lets's calculate GCF of 342,384,404

2 342, 384, 404
171, 192, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13313100/2

Therefore the LCM of Fractions 75/342,796/384,669/404 is 6656550

Greatest Common Factor of 342,384,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,384,404 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 342,384,404 . The biggest common factor number is the GCF number.
So the greatest common factor 342,384,404 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 75/342, 796/384, 669/404

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 75/342, 796/384, 669/404?

Answer: LCM of Numerators as per given numbers 75/342, 796/384, 669/404 is

LCM of Numerators i.e. for 75,796,669 is 13313100

GCF of denominators i.e. for 342,384,404 is 2.

Thus, LCM of Fractions is 6656550.Finally, LCM of Fractions for 75/342, 796/384, 669/404 is 6656550.