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LCM of 374, 289, 348, 717

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


Find the LCM of 374, 289, 348, 717 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 374, 289, 348, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,289,348,717

Given numbers are 374,289,348,717

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

The LCM of 374,289,348,717 is 264403788.

Find LCM of 374,289,348,717 with Prime Factorization


2 374, 289, 348, 717
3 187, 289, 174, 717
17 187, 289, 58, 239
11, 17, 58, 239

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

2 x 3 x 17 x 11 x 17 x 58 x 239 = 264403788

Therefore, the lowest common multiple of 374,289,348,717 is 264403788.

LCM Formula to Find Lowest Common Multiple of 374,289,348,717

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.

374 x 289 x 348 x 717 = 26969186376

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

289 : 1, 17, 289

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,289,348,717, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

289:17x 17

348:2x 2x 3x 29

717:3x 239

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 17 = 102

Therefore, the value for common factors is 102.

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 = 26969186376/(1x102)

LCM = 26969186376/102

LCM = 264403788

Thus, we can understand that the LCM of 374,289,348,717 is 264403788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 289, 348, 717

1. What is the LCM of 374, 289, 348, 717?

Answer: LCM of 374, 289, 348, 717 is 264403788.

2. How to calculate the LCM of 374, 289, 348, 717?

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 374, 289, 348, 717.

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}.