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LCM of 331, 588, 417, 354

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


Find the LCM of 331, 588, 417, 354 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 331, 588, 417, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,588,417,354

Given numbers are 331,588,417,354

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

The LCM of 331,588,417,354 is 1596144228.

Find LCM of 331,588,417,354 with Prime Factorization


2 331, 588, 417, 354
3 331, 294, 417, 177
331, 98, 139, 59

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

2 x 3 x 331 x 98 x 139 x 59 = 1596144228

Therefore, the lowest common multiple of 331,588,417,354 is 1596144228.

LCM Formula to Find Lowest Common Multiple of 331,588,417,354

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.

331 x 588 x 417 x 354 = 28730596104

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.

331 : 1, 331

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

417 : 1, 3, 139, 417

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,588,417,354, is 1.

Now, the common factors can be found like this.

331:331

588:2x 2x 3x 7x 7

417:3x 139

354:2x 3x 59

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 28730596104/(1x18)

LCM = 28730596104/18

LCM = 1596144228

Thus, we can understand that the LCM of 331,588,417,354 is 1596144228.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 588, 417, 354

1. What is the LCM of 331, 588, 417, 354?

Answer: LCM of 331, 588, 417, 354 is 1596144228.

2. How to calculate the LCM of 331, 588, 417, 354?

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 331, 588, 417, 354.

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}.