Given numbers are 822,395,312,966

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

The LCM of 822,395,312,966 is 2718304680.

Find LCM of 822,395,312,966 with Prime Factorization

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

2 x 3 x 137 x 395 x 52 x 161 = 2718304680

Therefore, the lowest common multiple of 822,395,312,966 is 2718304680.

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.

822 x 395 x 312 x 966 = 97858968480

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.

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

395 : 1, 5, 79, 395

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,395,312,966, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

395:5x 79

312:2x 2x 2x 3x 13

966:2x 3x 7x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 97858968480/(1x36)

LCM = 97858968480/36

LCM = 2718304680

Thus, we can understand that the LCM of 822,395,312,966 is 2718304680.

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

• LCM of 238, 114, 404, 270
• LCM of 757, 244, 922, 170
• LCM of 372, 530, 934, 125
• LCM of 678, 410, 818, 507
• LCM of 128, 101, 862, 545

1. What is the LCM of 822, 395, 312, 966?

Answer: LCM of 822, 395, 312, 966 is 2718304680.

2. How to calculate the LCM of 822, 395, 312, 966?

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 822, 395, 312, 966.

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}.