Given numbers are 920,827,589,283,912

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

The LCM of 920,827,589,283,912 is 760932822480.

Find LCM of 920,827,589,283,912 with Prime Factorization

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

2 x 2 x 2 x 19 x 115 x 827 x 31 x 283 x 6 = 760932822480

Therefore, the lowest common multiple of 920,827,589,283,912 is 760932822480.

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.

920 x 827 x 589 x 283 x 912 = 115661789016960

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

827 : 1, 827

589 : 1, 19, 31, 589

283 : 1, 283

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 920,827,589,283,912, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

827:827

589:19x 31

283:283

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 19 = 152

Therefore, the value for common factors is 152.

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 = 115661789016960/(1x152)

LCM = 115661789016960/152

LCM = 760932822480

Thus, we can understand that the LCM of 920,827,589,283,912 is 760932822480.

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

• LCM of 327, 655, 618, 679, 376
• LCM of 574, 336, 655, 226, 518
• LCM of 578, 730, 602, 446, 258
• LCM of 961, 220, 757, 577, 610
• LCM of 972, 310, 342, 590, 374

1. What is the LCM of 920, 827, 589, 283, 912?

Answer: LCM of 920, 827, 589, 283, 912 is 760932822480.

2. How to calculate the LCM of 920, 827, 589, 283, 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 920, 827, 589, 283, 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}.