Given numbers are 214,115,428,732

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

The LCM of 214,115,428,732 is 9007260.

Find LCM of 214,115,428,732 with Prime Factorization

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

2 x 2 x 107 x 1 x 115 x 1 x 183 = 9007260

Therefore, the lowest common multiple of 214,115,428,732 is 9007260.

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.

214 x 115 x 428 x 732 = 7710214560

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.

214 : 1, 2, 107, 214

115 : 1, 5, 23, 115

428 : 1, 2, 4, 107, 214, 428

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,115,428,732, is 1.

Now, the common factors can be found like this.

214:2x 107

115:5x 23

428:2x 2x 107

732:2x 2x 3x 61

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 107 = 856

Therefore, the value for common factors is 856.

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 = 7710214560/(1x856)

LCM = 7710214560/856

LCM = 9007260

Thus, we can understand that the LCM of 214,115,428,732 is 9007260.

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

• LCM of 691, 849, 265, 228
• LCM of 228, 313, 328, 416
• LCM of 623, 997, 291, 485
• LCM of 200, 501, 521, 782
• LCM of 244, 361, 648, 377

1. What is the LCM of 214, 115, 428, 732?

Answer: LCM of 214, 115, 428, 732 is 9007260.

2. How to calculate the LCM of 214, 115, 428, 732?

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 214, 115, 428, 732.

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}.