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LCM of 455, 416, 515, 395

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


Find the LCM of 455, 416, 515, 395 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 455, 416, 515, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 455,416,515,395

Given numbers are 455,416,515,395

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

The LCM of 455,416,515,395 is 118474720.

Find LCM of 455,416,515,395 with Prime Factorization


5 455, 416, 515, 395
13 91, 416, 103, 79
7, 32, 103, 79

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

5 x 13 x 7 x 32 x 103 x 79 = 118474720

Therefore, the lowest common multiple of 455,416,515,395 is 118474720.

LCM Formula to Find Lowest Common Multiple of 455,416,515,395

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.

455 x 416 x 515 x 395 = 38504284000

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

515 : 1, 5, 103, 515

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,416,515,395, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

416:2x 2x 2x 2x 2x 13

515:5x 103

395:5x 79

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

5x 5x 13 = 325

Therefore, the value for common factors is 325.

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 = 38504284000/(1x325)

LCM = 38504284000/325

LCM = 118474720

Thus, we can understand that the LCM of 455,416,515,395 is 118474720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 455, 416, 515, 395

1. What is the LCM of 455, 416, 515, 395?

Answer: LCM of 455, 416, 515, 395 is 118474720.

2. How to calculate the LCM of 455, 416, 515, 395?

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 455, 416, 515, 395.

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}.