Given numbers are 320,746,950,306

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

The LCM of 320,746,950,306 is 1734897600.

Find LCM of 320,746,950,306 with Prime Factorization

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

2 x 5 x 32 x 373 x 95 x 153 = 1734897600

Therefore, the lowest common multiple of 320,746,950,306 is 1734897600.

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.

320 x 746 x 950 x 306 = 69395904000

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.

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

746 : 1, 2, 373, 746

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,746,950,306, is 2.

Now, the common factors can be found like this.

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

746:2x 373

950:2x 5x 5x 19

306:2x 3x 3x 17

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 = 69395904000/(2x20)

LCM = 69395904000/40

LCM = 1734897600

Thus, we can understand that the LCM of 320,746,950,306 is 1734897600.

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

• LCM of 404, 731, 405, 176
• LCM of 590, 824, 979, 168
• LCM of 561, 853, 535, 769
• LCM of 729, 385, 462, 575
• LCM of 299, 753, 182, 316

1. What is the LCM of 320, 746, 950, 306?

Answer: LCM of 320, 746, 950, 306 is 1734897600.

2. How to calculate the LCM of 320, 746, 950, 306?

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 320, 746, 950, 306.

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}.