Given numbers are 330,790,360,822

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

The LCM of 330,790,360,822 is 42859080.

Find LCM of 330,790,360,822 with Prime Factorization

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

2 x 3 x 5 x 11 x 79 x 12 x 137 = 42859080

Therefore, the lowest common multiple of 330,790,360,822 is 42859080.

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.

330 x 790 x 360 x 822 = 77146344000

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

790 : 1, 2, 5, 10, 79, 158, 395, 790

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

822 : 1, 2, 3, 6, 137, 274, 411, 822

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,790,360,822, is 2.

Now, the common factors can be found like this.

330:2x 3x 5x 11

790:2x 5x 79

360:2x 2x 2x 3x 3x 5

822:2x 3x 137

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 77146344000/(2x900)

LCM = 77146344000/1800

LCM = 42859080

Thus, we can understand that the LCM of 330,790,360,822 is 42859080.

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

• LCM of 981, 492, 681, 434
• LCM of 930, 244, 682, 492
• LCM of 660, 524, 195, 458
• LCM of 814, 170, 111, 954
• LCM of 979, 369, 588, 291

1. What is the LCM of 330, 790, 360, 822?

Answer: LCM of 330, 790, 360, 822 is 42859080.

2. How to calculate the LCM of 330, 790, 360, 822?

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 330, 790, 360, 822.

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}.