Given numbers are 213,416,214,804

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

The LCM of 213,416,214,804 is 635230752.

Find LCM of 213,416,214,804 with Prime Factorization

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

2 x 2 x 3 x 71 x 104 x 107 x 67 = 635230752

Therefore, the lowest common multiple of 213,416,214,804 is 635230752.

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 416 x 214 x 804 = 15245538048

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

214 : 1, 2, 107, 214

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,416,214,804, is 1.

Now, the common factors can be found like this.

213:3x 71

416:2x 2x 2x 2x 2x 13

214:2x 107

804:2x 2x 3x 67

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 15245538048/(1x24)

LCM = 15245538048/24

LCM = 635230752

Thus, we can understand that the LCM of 213,416,214,804 is 635230752.

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

• LCM of 510, 730, 704, 106
• LCM of 309, 362, 429, 349
• LCM of 612, 260, 839, 558
• LCM of 665, 183, 524, 633
• LCM of 542, 853, 280, 325

1. What is the LCM of 213, 416, 214, 804?

Answer: LCM of 213, 416, 214, 804 is 635230752.

2. How to calculate the LCM of 213, 416, 214, 804?

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, 416, 214, 804.

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}.