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LCM of 38, 272, 323

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 38, 272, 323 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 38, 272, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 38,272,323

Given numbers are 38,272,323

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 38,272,323 is 5168.

Find LCM of 38,272,323 with Prime Factorization


2 38, 272, 323
17 19, 136, 323
19 19, 8, 19
1, 8, 1

Multiply the prime numbers at the bottom and the left side.

2 x 17 x 19 x 1 x 8 x 1 = 5168

Therefore, the lowest common multiple of 38,272,323 is 5168.

LCM Formula to Find Lowest Common Multiple of 38,272,323

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

38 x 272 x 323 = 3338528

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

38 : 1, 2, 19, 38

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,272,323, is 1.

Now, the common factors can be found like this.

38:2x 19

272:2x 2x 2x 2x 17

323:17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17x 19 = 646

Therefore, the value for common factors is 646.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3338528/(1x646)

LCM = 3338528/646

LCM = 5168

Thus, we can understand that the LCM of 38,272,323 is 5168.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 38, 272, 323

1. What is the LCM of 38, 272, 323?

Answer: LCM of 38, 272, 323 is 5168.

2. How to calculate the LCM of 38, 272, 323?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 38, 272, 323.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.