Given numbers are 528,174,545,909,339

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

The LCM of 528,174,545,909,339 is 285725824560.

Find LCM of 528,174,545,909,339 with Prime Factorization

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

2 x 3 x 88 x 29 x 545 x 303 x 113 = 285725824560

Therefore, the lowest common multiple of 528,174,545,909,339 is 285725824560.

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.

528 x 174 x 545 x 909 x 339 = 15429194526240

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

174 : 1, 2, 3, 6, 29, 58, 87, 174

545 : 1, 5, 109, 545

909 : 1, 3, 9, 101, 303, 909

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,174,545,909,339, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

174:2x 3x 29

545:5x 109

909:3x 3x 101

339:3x 113

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 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 15429194526240/(1x54)

LCM = 15429194526240/54

LCM = 285725824560

Thus, we can understand that the LCM of 528,174,545,909,339 is 285725824560.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 704, 400, 522, 445, 872
• LCM of 762, 241, 800, 475, 287
• LCM of 190, 949, 320, 465, 842
• LCM of 776, 573, 171, 970, 371
• LCM of 652, 128, 426, 432, 417

1. What is the LCM of 528, 174, 545, 909, 339?

Answer: LCM of 528, 174, 545, 909, 339 is 285725824560.

2. How to calculate the LCM of 528, 174, 545, 909, 339?

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 528, 174, 545, 909, 339.

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}.