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LCM of 354, 458, 664, 587

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


Find the LCM of 354, 458, 664, 587 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 354, 458, 664, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 354,458,664,587

Given numbers are 354,458,664,587

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

The LCM of 354,458,664,587 is 15798466344.

Find LCM of 354,458,664,587 with Prime Factorization


2 354, 458, 664, 587
177, 229, 332, 587

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

2 x 177 x 229 x 332 x 587 = 15798466344

Therefore, the lowest common multiple of 354,458,664,587 is 15798466344.

LCM Formula to Find Lowest Common Multiple of 354,458,664,587

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.

354 x 458 x 664 x 587 = 63193865376

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

458 : 1, 2, 229, 458

664 : 1, 2, 4, 8, 83, 166, 332, 664

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,458,664,587, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

458:2x 229

664:2x 2x 2x 83

587:587

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 63193865376/(1x4)

LCM = 63193865376/4

LCM = 15798466344

Thus, we can understand that the LCM of 354,458,664,587 is 15798466344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 354, 458, 664, 587

1. What is the LCM of 354, 458, 664, 587?

Answer: LCM of 354, 458, 664, 587 is 15798466344.

2. How to calculate the LCM of 354, 458, 664, 587?

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 354, 458, 664, 587.

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}.