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LCM of 158, 512, 555, 353, 217

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


Find the LCM of 158, 512, 555, 353, 217 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 158, 512, 555, 353, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 158,512,555,353,217

Given numbers are 158,512,555,353,217

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

The LCM of 158,512,555,353,217 is 1719588272640.

Find LCM of 158,512,555,353,217 with Prime Factorization


2 158, 512, 555, 353, 217
79, 256, 555, 353, 217

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

2 x 79 x 256 x 555 x 353 x 217 = 1719588272640

Therefore, the lowest common multiple of 158,512,555,353,217 is 1719588272640.

LCM Formula to Find Lowest Common Multiple of 158,512,555,353,217

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.

158 x 512 x 555 x 353 x 217 = 3439176545280

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.

158 : 1, 2, 79, 158

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

555 : 1, 3, 5, 15, 37, 111, 185, 555

353 : 1, 353

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,512,555,353,217, is 1.

Now, the common factors can be found like this.

158:2x 79

512:2x 2x 2x 2x 2x 2x 2x 2x 2

555:3x 5x 37

353:353

217:7x 31

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

2 = 2

Therefore, the value for common factors is 2.

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 = 3439176545280/(1x2)

LCM = 3439176545280/2

LCM = 1719588272640

Thus, we can understand that the LCM of 158,512,555,353,217 is 1719588272640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 158, 512, 555, 353, 217

1. What is the LCM of 158, 512, 555, 353, 217?

Answer: LCM of 158, 512, 555, 353, 217 is 1719588272640.

2. How to calculate the LCM of 158, 512, 555, 353, 217?

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 158, 512, 555, 353, 217.

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}.