Given numbers are 517,321,949,207,728

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

The LCM of 517,321,949,207,728 is 608553697752.

Find LCM of 517,321,949,207,728 with Prime Factorization

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

3 x 13 x 517 x 107 x 73 x 69 x 56 = 608553697752

Therefore, the lowest common multiple of 517,321,949,207,728 is 608553697752.

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.

517 x 321 x 949 x 207 x 728 = 23733594212328

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.

517 : 1, 11, 47, 517

321 : 1, 3, 107, 321

949 : 1, 13, 73, 949

207 : 1, 3, 9, 23, 69, 207

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,321,949,207,728, is 1.

Now, the common factors can be found like this.

517:11x 47

321:3x 107

949:13x 73

207:3x 3x 23

728:2x 2x 2x 7x 13

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 23733594212328/(1x39)

LCM = 23733594212328/39

LCM = 608553697752

Thus, we can understand that the LCM of 517,321,949,207,728 is 608553697752.

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

• LCM of 116, 213, 969, 488, 356
• LCM of 443, 702, 592, 323, 607
• LCM of 124, 472, 125, 502, 912
• LCM of 215, 853, 518, 282, 749
• LCM of 917, 199, 320, 212, 897

1. What is the LCM of 517, 321, 949, 207, 728?

Answer: LCM of 517, 321, 949, 207, 728 is 608553697752.

2. How to calculate the LCM of 517, 321, 949, 207, 728?

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 517, 321, 949, 207, 728.

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}.