Given numbers are 214,728,430

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

The LCM of 214,728,430 is 16747640.

Find LCM of 214,728,430 with Prime Factorization

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

2 x 107 x 364 x 215 = 16747640

Therefore, the lowest common multiple of 214,728,430 is 16747640.

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 728 x 430 = 66990560

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,728,430, is 2.

Now, the common factors can be found like this.

214:2x 107

728:2x 2x 2x 7x 13

430:2x 5x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 66990560/(2x2)

LCM = 66990560/4

LCM = 16747640

Thus, we can understand that the LCM of 214,728,430 is 16747640.

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

• LCM of 639, 959, 455
• LCM of 411, 112, 783
• LCM of 948, 813, 627
• LCM of 400, 966, 832
• LCM of 352, 526, 240

1. What is the LCM of 214, 728, 430?

Answer: LCM of 214, 728, 430 is 16747640.

2. How to calculate the LCM of 214, 728, 430?

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, 728, 430.

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}.