Given numbers are 470,306,847,919,320

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

The LCM of 470,306,847,919,320 is 1791175700160.

Find LCM of 470,306,847,919,320 with Prime Factorization

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

2 x 5 x 47 x 153 x 847 x 919 x 32 = 1791175700160

Therefore, the lowest common multiple of 470,306,847,919,320 is 1791175700160.

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.

470 x 306 x 847 x 919 x 320 = 35823514003200

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

847 : 1, 7, 11, 77, 121, 847

919 : 1, 919

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,306,847,919,320, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

306:2x 3x 3x 17

847:7x 11x 11

919:919

320:2x 2x 2x 2x 2x 2x 5

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 5 = 20

Therefore, the value for common factors is 20.

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 = 35823514003200/(1x20)

LCM = 35823514003200/20

LCM = 1791175700160

Thus, we can understand that the LCM of 470,306,847,919,320 is 1791175700160.

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

• LCM of 547, 744, 348, 872, 345
• LCM of 123, 389, 712, 300, 150
• LCM of 129, 861, 359, 518, 155
• LCM of 544, 700, 752, 849, 316
• LCM of 159, 450, 216, 456, 133

1. What is the LCM of 470, 306, 847, 919, 320?

Answer: LCM of 470, 306, 847, 919, 320 is 1791175700160.

2. How to calculate the LCM of 470, 306, 847, 919, 320?

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 470, 306, 847, 919, 320.

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}.