Given numbers are 776,104,930,289,828

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

The LCM of 776,104,930,289,828 is 93541635720.

Find LCM of 776,104,930,289,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 97 x 13 x 155 x 289 x 69 = 93541635720

Therefore, the lowest common multiple of 776,104,930,289,828 is 93541635720.

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.

776 x 104 x 930 x 289 x 828 = 17959994058240

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

104 : 1, 2, 4, 8, 13, 26, 52, 104

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

289 : 1, 17, 289

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,104,930,289,828, is 1.

Now, the common factors can be found like this.

776:2x 2x 2x 97

104:2x 2x 2x 13

930:2x 3x 5x 31

289:17x 17

828:2x 2x 3x 3x 23

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 3 = 192

Therefore, the value for common factors is 192.

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 = 17959994058240/(1x192)

LCM = 17959994058240/192

LCM = 93541635720

Thus, we can understand that the LCM of 776,104,930,289,828 is 93541635720.

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

• LCM of 549, 226, 907, 871, 579
• LCM of 384, 295, 446, 346, 714
• LCM of 912, 449, 829, 462, 150
• LCM of 900, 908, 995, 230, 901
• LCM of 860, 349, 760, 679, 356

1. What is the LCM of 776, 104, 930, 289, 828?

Answer: LCM of 776, 104, 930, 289, 828 is 93541635720.

2. How to calculate the LCM of 776, 104, 930, 289, 828?

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 776, 104, 930, 289, 828.

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}.