Given numbers are 320,386,950,820,812

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

The LCM of 320,386,950,820,812 is 48832705600.

Find LCM of 320,386,950,820,812 with Prime Factorization

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

2 x 2 x 5 x 16 x 193 x 95 x 41 x 203 = 48832705600

Therefore, the lowest common multiple of 320,386,950,820,812 is 48832705600.

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 386 x 950 x 820 x 812 = 78132328960000

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

386 : 1, 2, 193, 386

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

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,386,950,820,812, is 2.

Now, the common factors can be found like this.

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

386:2x 193

950:2x 5x 5x 19

820:2x 2x 5x 41

812:2x 2x 7x 29

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 78132328960000/(2x800)

LCM = 78132328960000/1600

LCM = 48832705600

Thus, we can understand that the LCM of 320,386,950,820,812 is 48832705600.

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

• LCM of 572, 542, 111, 464, 503
• LCM of 920, 148, 380, 800, 200
• LCM of 354, 407, 496, 121, 473
• LCM of 231, 723, 212, 553, 521
• LCM of 601, 320, 890, 357, 745

1. What is the LCM of 320, 386, 950, 820, 812?

Answer: LCM of 320, 386, 950, 820, 812 is 48832705600.

2. How to calculate the LCM of 320, 386, 950, 820, 812?

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, 386, 950, 820, 812.

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}.