Given numbers are 214,424,258,635

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

The LCM of 214,424,258,635 is 3716319720.

Find LCM of 214,424,258,635 with Prime Factorization

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

2 x 107 x 212 x 129 x 635 = 3716319720

Therefore, the lowest common multiple of 214,424,258,635 is 3716319720.

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 424 x 258 x 635 = 14865278880

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

258 : 1, 2, 3, 6, 43, 86, 129, 258

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,424,258,635, is 1.

Now, the common factors can be found like this.

214:2x 107

424:2x 2x 2x 53

258:2x 3x 43

635:5x 127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14865278880/(1x4)

LCM = 14865278880/4

LCM = 3716319720

Thus, we can understand that the LCM of 214,424,258,635 is 3716319720.

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

• LCM of 714, 681, 469, 195
• LCM of 136, 613, 296, 548
• LCM of 726, 760, 594, 140
• LCM of 748, 796, 241, 689
• LCM of 130, 791, 204, 107

1. What is the LCM of 214, 424, 258, 635?

Answer: LCM of 214, 424, 258, 635 is 3716319720.

2. How to calculate the LCM of 214, 424, 258, 635?

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, 424, 258, 635.

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}.