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LCM of 352, 817, 323, 497

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


Find the LCM of 352, 817, 323, 497 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 352, 817, 323, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,817,323,497

Given numbers are 352,817,323,497

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

The LCM of 352,817,323,497 is 2429797216.

Find LCM of 352,817,323,497 with Prime Factorization


19 352, 817, 323, 497
352, 43, 17, 497

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

19 x 352 x 43 x 17 x 497 = 2429797216

Therefore, the lowest common multiple of 352,817,323,497 is 2429797216.

LCM Formula to Find Lowest Common Multiple of 352,817,323,497

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.

352 x 817 x 323 x 497 = 46166147104

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

817 : 1, 19, 43, 817

323 : 1, 17, 19, 323

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,817,323,497, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

817:19x 43

323:17x 19

497:7x 71

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

19 = 19

Therefore, the value for common factors is 19.

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 = 46166147104/(1x19)

LCM = 46166147104/19

LCM = 2429797216

Thus, we can understand that the LCM of 352,817,323,497 is 2429797216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 817, 323, 497

1. What is the LCM of 352, 817, 323, 497?

Answer: LCM of 352, 817, 323, 497 is 2429797216.

2. How to calculate the LCM of 352, 817, 323, 497?

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 352, 817, 323, 497.

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}.