Given numbers are 464,209,732,817,728

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

The LCM of 464,209,732,817,728 is 69442477104.

Find LCM of 464,209,732,817,728 with Prime Factorization

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

2 x 2 x 2 x 19 x 58 x 11 x 183 x 43 x 91 = 69442477104

Therefore, the lowest common multiple of 464,209,732,817,728 is 69442477104.

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.

464 x 209 x 732 x 817 x 728 = 42221026079232

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

209 : 1, 11, 19, 209

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

817 : 1, 19, 43, 817

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 464,209,732,817,728, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

209:11x 19

732:2x 2x 3x 61

817:19x 43

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.

2x 2x 2x 2x 2x 19 = 608

Therefore, the value for common factors is 608.

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 = 42221026079232/(1x608)

LCM = 42221026079232/608

LCM = 69442477104

Thus, we can understand that the LCM of 464,209,732,817,728 is 69442477104.

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

• LCM of 977, 974, 871, 877, 605
• LCM of 333, 246, 114, 187, 654
• LCM of 273, 945, 132, 381, 595
• LCM of 758, 991, 358, 311, 262
• LCM of 655, 646, 229, 682, 416

1. What is the LCM of 464, 209, 732, 817, 728?

Answer: LCM of 464, 209, 732, 817, 728 is 69442477104.

2. How to calculate the LCM of 464, 209, 732, 817, 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 464, 209, 732, 817, 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}.