Given numbers are 306,390,809,904,920

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

The LCM of 306,390,809,904,920 is 167282139960.

Find LCM of 306,390,809,904,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 51 x 13 x 809 x 113 x 23 = 167282139960

Therefore, the lowest common multiple of 306,390,809,904,920 is 167282139960.

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.

306 x 390 x 809 x 904 x 920 = 80295427180800

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

809 : 1, 809

904 : 1, 2, 4, 8, 113, 226, 452, 904

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,390,809,904,920, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

390:2x 3x 5x 13

809:809

904:2x 2x 2x 113

920:2x 2x 2x 5x 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 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 80295427180800/(1x480)

LCM = 80295427180800/480

LCM = 167282139960

Thus, we can understand that the LCM of 306,390,809,904,920 is 167282139960.

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

• LCM of 925, 934, 659, 614, 713
• LCM of 896, 613, 260, 584, 774
• LCM of 830, 946, 535, 475, 705
• LCM of 778, 583, 971, 396, 610
• LCM of 562, 961, 648, 947, 932

1. What is the LCM of 306, 390, 809, 904, 920?

Answer: LCM of 306, 390, 809, 904, 920 is 167282139960.

2. How to calculate the LCM of 306, 390, 809, 904, 920?

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 306, 390, 809, 904, 920.

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}.