Given numbers are 229,900,862,966,213

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

The LCM of 229,900,862,966,213 is 1015405442100.

Find LCM of 229,900,862,966,213 with Prime Factorization

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

2 x 3 x 229 x 150 x 431 x 161 x 71 = 1015405442100

Therefore, the lowest common multiple of 229,900,862,966,213 is 1015405442100.

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.

229 x 900 x 862 x 966 x 213 = 36554595915600

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.

229 : 1, 229

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

862 : 1, 2, 431, 862

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,900,862,966,213, is 1.

Now, the common factors can be found like this.

229:229

900:2x 2x 3x 3x 5x 5

862:2x 431

966:2x 3x 7x 23

213:3x 71

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 = 36554595915600/(1x36)

LCM = 36554595915600/36

LCM = 1015405442100

Thus, we can understand that the LCM of 229,900,862,966,213 is 1015405442100.

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

• LCM of 685, 304, 394, 432, 638
• LCM of 529, 890, 481, 187, 820
• LCM of 598, 527, 280, 398, 400
• LCM of 806, 510, 534, 449, 132
• LCM of 326, 583, 856, 237, 522

1. What is the LCM of 229, 900, 862, 966, 213?

Answer: LCM of 229, 900, 862, 966, 213 is 1015405442100.

2. How to calculate the LCM of 229, 900, 862, 966, 213?

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 229, 900, 862, 966, 213.

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}.