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LCM of 352, 343, 358, 317, 668

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


Find the LCM of 352, 343, 358, 317, 668 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, 343, 358, 317, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,343,358,317,668

Given numbers are 352,343,358,317,668

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

The LCM of 352,343,358,317,668 is 1144104115616.

Find LCM of 352,343,358,317,668 with Prime Factorization


2 352, 343, 358, 317, 668
2 176, 343, 179, 317, 334
88, 343, 179, 317, 167

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

2 x 2 x 88 x 343 x 179 x 317 x 167 = 1144104115616

Therefore, the lowest common multiple of 352,343,358,317,668 is 1144104115616.

LCM Formula to Find Lowest Common Multiple of 352,343,358,317,668

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 343 x 358 x 317 x 668 = 9152832924928

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

343 : 1, 7, 49, 343

358 : 1, 2, 179, 358

317 : 1, 317

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,343,358,317,668, is 1.

Now, the common factors can be found like this.

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

343:7x 7x 7

358:2x 179

317:317

668:2x 2x 167

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 9152832924928/(1x8)

LCM = 9152832924928/8

LCM = 1144104115616

Thus, we can understand that the LCM of 352,343,358,317,668 is 1144104115616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 343, 358, 317, 668

1. What is the LCM of 352, 343, 358, 317, 668?

Answer: LCM of 352, 343, 358, 317, 668 is 1144104115616.

2. How to calculate the LCM of 352, 343, 358, 317, 668?

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, 343, 358, 317, 668.

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}.