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LCM of 958, 502, 857, 289

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


Find the LCM of 958, 502, 857, 289 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 958, 502, 857, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,502,857,289

Given numbers are 958,502,857,289

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

The LCM of 958,502,857,289 is 59554954234.

Find LCM of 958,502,857,289 with Prime Factorization


2 958, 502, 857, 289
479, 251, 857, 289

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

2 x 479 x 251 x 857 x 289 = 59554954234

Therefore, the lowest common multiple of 958,502,857,289 is 59554954234.

LCM Formula to Find Lowest Common Multiple of 958,502,857,289

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.

958 x 502 x 857 x 289 = 119109908468

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.

958 : 1, 2, 479, 958

502 : 1, 2, 251, 502

857 : 1, 857

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,502,857,289, is 1.

Now, the common factors can be found like this.

958:2x 479

502:2x 251

857:857

289:17x 17

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 = 119109908468/(1x2)

LCM = 119109908468/2

LCM = 59554954234

Thus, we can understand that the LCM of 958,502,857,289 is 59554954234.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 502, 857, 289

1. What is the LCM of 958, 502, 857, 289?

Answer: LCM of 958, 502, 857, 289 is 59554954234.

2. How to calculate the LCM of 958, 502, 857, 289?

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 958, 502, 857, 289.

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}.