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LCM of 329, 545, 315, 525

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


Find the LCM of 329, 545, 315, 525 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 329, 545, 315, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 329,545,315,525

Given numbers are 329,545,315,525

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

The LCM of 329,545,315,525 is 8068725.

Find LCM of 329,545,315,525 with Prime Factorization


3 329, 545, 315, 525
5 329, 545, 105, 175
7 329, 109, 21, 35
47, 109, 3, 5

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

3 x 5 x 7 x 47 x 109 x 3 x 5 = 8068725

Therefore, the lowest common multiple of 329,545,315,525 is 8068725.

LCM Formula to Find Lowest Common Multiple of 329,545,315,525

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.

329 x 545 x 315 x 525 = 29652564375

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.

329 : 1, 7, 47, 329

545 : 1, 5, 109, 545

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,545,315,525, is 1.

Now, the common factors can be found like this.

329:7x 47

545:5x 109

315:3x 3x 5x 7

525:3x 5x 5x 7

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

3x 5x 5x 7x 7 = 3675

Therefore, the value for common factors is 3675.

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 = 29652564375/(1x3675)

LCM = 29652564375/3675

LCM = 8068725

Thus, we can understand that the LCM of 329,545,315,525 is 8068725.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 329, 545, 315, 525

1. What is the LCM of 329, 545, 315, 525?

Answer: LCM of 329, 545, 315, 525 is 8068725.

2. How to calculate the LCM of 329, 545, 315, 525?

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 329, 545, 315, 525.

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}.