Given numbers are 213,850,314,130

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

The LCM of 213,850,314,130 is 369523050.

Find LCM of 213,850,314,130 with Prime Factorization

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

2 x 5 x 213 x 85 x 157 x 13 = 369523050

Therefore, the lowest common multiple of 213,850,314,130 is 369523050.

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.

213 x 850 x 314 x 130 = 7390461000

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.

213 : 1, 3, 71, 213

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

314 : 1, 2, 157, 314

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,850,314,130, is 1.

Now, the common factors can be found like this.

213:3x 71

850:2x 5x 5x 17

314:2x 157

130:2x 5x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 7390461000/(1x20)

LCM = 7390461000/20

LCM = 369523050

Thus, we can understand that the LCM of 213,850,314,130 is 369523050.

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

• LCM of 426, 155, 704, 864
• LCM of 252, 479, 274, 808
• LCM of 986, 621, 337, 156
• LCM of 109, 619, 120, 278
• LCM of 323, 279, 216, 563

1. What is the LCM of 213, 850, 314, 130?

Answer: LCM of 213, 850, 314, 130 is 369523050.

2. How to calculate the LCM of 213, 850, 314, 130?

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 213, 850, 314, 130.

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}.