Least Common Multiple of 468/344, 800/320, 423/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/344, 800/320, 423/756 quickly i.e. 1099800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/344, 800/320, 423/756 is 1099800.

LCM(468/344, 800/320, 423/756) = 1099800

LCM of 468/344, 800/320, 423/756

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 468/344,800/320,423/756

Given numbers are 468/344,800/320,423/756

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 468,800,423

Least Common Multiple of Numerators i.e. LCM of 468,800,423 is 4399200.

GCF of Denominators means GCF of 344,320,756 as per the given fractions.

GCF of 344,320,756 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,800,423

LCM of Fractions 468/344,800/320,423/756 is 1099800

2 468, 800, 423
2 234, 400, 423
3 117, 200, 423
3 39, 200, 141
13, 200, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 200 x 47 = 4399200

Least Common Multiple of 468,800,423 with GCF Formula

Least Common Multiple of 468,800,423 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 468,800,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,800,423) = 1

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

GCF(468,800,423) x common factors =1 x 36 = 36

LCM(468,800,423) = ( 468 × 800 × 423 ) / 36

LCM(468,800,423) = 158371200 / 36

LCM(468,800,423) = 4399200


Lets's calculate GCF of 344,320,756

2 344, 320, 756
2 172, 160, 378
86, 80, 189

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4399200/4

Therefore the LCM of Fractions 468/344,800/320,423/756 is 1099800

Greatest Common Factor of 344,320,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,320,756 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 344,320,756 . The biggest common factor number is the GCF number.
So the greatest common factor 344,320,756 is 4.


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 468/344, 800/320, 423/756

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 468/344, 800/320, 423/756?

Answer: LCM of Numerators as per given numbers 468/344, 800/320, 423/756 is

LCM of Numerators i.e. for 468,800,423 is 4399200

GCF of denominators i.e. for 344,320,756 is 4.

Thus, LCM of Fractions is 1099800.Finally, LCM of Fractions for 468/344, 800/320, 423/756 is 1099800.