Given numbers are 966,214,420,819

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

The LCM of 966,214,420,819 is 40311180.

Find LCM of 966,214,420,819 with Prime Factorization

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

2 x 3 x 7 x 23 x 107 x 10 x 39 = 40311180

Therefore, the lowest common multiple of 966,214,420,819 is 40311180.

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.

966 x 214 x 420 x 819 = 71108921520

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.

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

214 : 1, 2, 107, 214

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,214,420,819, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

214:2x 107

420:2x 2x 3x 5x 7

819:3x 3x 7x 13

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 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 71108921520/(1x1764)

LCM = 71108921520/1764

LCM = 40311180

Thus, we can understand that the LCM of 966,214,420,819 is 40311180.

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

• LCM of 711, 336, 860, 791
• LCM of 703, 224, 650, 546
• LCM of 798, 606, 188, 643
• LCM of 759, 490, 624, 914
• LCM of 327, 964, 970, 273

1. What is the LCM of 966, 214, 420, 819?

Answer: LCM of 966, 214, 420, 819 is 40311180.

2. How to calculate the LCM of 966, 214, 420, 819?

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 966, 214, 420, 819.

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}.