Given numbers are 701,864,496,249,912

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

The LCM of 701,864,496,249,912 is 29609095968.

Find LCM of 701,864,496,249,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 701 x 18 x 31 x 83 x 19 = 29609095968

Therefore, the lowest common multiple of 701,864,496,249,912 is 29609095968.

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.

701 x 864 x 496 x 249 x 912 = 68219357110272

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.

701 : 1, 701

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

249 : 1, 3, 83, 249

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,864,496,249,912, is 1.

Now, the common factors can be found like this.

701:701

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

496:2x 2x 2x 2x 31

249:3x 83

912:2x 2x 2x 2x 3x 19

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 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 68219357110272/(1x2304)

LCM = 68219357110272/2304

LCM = 29609095968

Thus, we can understand that the LCM of 701,864,496,249,912 is 29609095968.

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

• LCM of 381, 389, 664, 364, 861
• LCM of 775, 434, 481, 487, 199
• LCM of 907, 323, 869, 455, 749
• LCM of 932, 343, 790, 494, 859
• LCM of 552, 180, 154, 906, 520

1. What is the LCM of 701, 864, 496, 249, 912?

Answer: LCM of 701, 864, 496, 249, 912 is 29609095968.

2. How to calculate the LCM of 701, 864, 496, 249, 912?

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 701, 864, 496, 249, 912.

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}.