Given numbers are 864,936,153,539,719

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

The LCM of 864,936,153,539,719 is 73998628704.

Find LCM of 864,936,153,539,719 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 12 x 13 x 17 x 539 x 719 = 73998628704

Therefore, the lowest common multiple of 864,936,153,539,719 is 73998628704.

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.

864 x 936 x 153 x 539 x 719 = 47951111400192

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

153 : 1, 3, 9, 17, 51, 153

539 : 1, 7, 11, 49, 77, 539

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,936,153,539,719, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

936:2x 2x 2x 3x 3x 13

153:3x 3x 17

539:7x 7x 11

719:719

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 47951111400192/(1x648)

LCM = 47951111400192/648

LCM = 73998628704

Thus, we can understand that the LCM of 864,936,153,539,719 is 73998628704.

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

• LCM of 969, 858, 866, 114, 270
• LCM of 368, 366, 184, 331, 455
• LCM of 234, 816, 393, 696, 629
• LCM of 312, 499, 554, 266, 218
• LCM of 414, 553, 514, 443, 895

1. What is the LCM of 864, 936, 153, 539, 719?

Answer: LCM of 864, 936, 153, 539, 719 is 73998628704.

2. How to calculate the LCM of 864, 936, 153, 539, 719?

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 864, 936, 153, 539, 719.

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}.