Given numbers are 867,464,213,438

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

The LCM of 867,464,213,438 is 2085058704.

Find LCM of 867,464,213,438 with Prime Factorization

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

2 x 3 x 289 x 232 x 71 x 73 = 2085058704

Therefore, the lowest common multiple of 867,464,213,438 is 2085058704.

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.

867 x 464 x 213 x 438 = 37531056672

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.

867 : 1, 3, 17, 51, 289, 867

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

213 : 1, 3, 71, 213

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,464,213,438, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

464:2x 2x 2x 2x 29

213:3x 71

438:2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 37531056672/(1x18)

LCM = 37531056672/18

LCM = 2085058704

Thus, we can understand that the LCM of 867,464,213,438 is 2085058704.

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

• LCM of 769, 267, 614, 974
• LCM of 473, 441, 597, 312
• LCM of 790, 270, 195, 151
• LCM of 428, 698, 938, 411
• LCM of 554, 267, 980, 278

1. What is the LCM of 867, 464, 213, 438?

Answer: LCM of 867, 464, 213, 438 is 2085058704.

2. How to calculate the LCM of 867, 464, 213, 438?

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 867, 464, 213, 438.

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}.