Given numbers are 214,507,984

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

The LCM of 214,507,984 is 17793672.

Find LCM of 214,507,984 with Prime Factorization

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

2 x 3 x 107 x 169 x 164 = 17793672

Therefore, the lowest common multiple of 214,507,984 is 17793672.

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 507 x 984 = 106762032

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

507 : 1, 3, 13, 39, 169, 507

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,507,984, is 1.

Now, the common factors can be found like this.

214:2x 107

507:3x 13x 13

984:2x 2x 2x 3x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 106762032/(1x6)

LCM = 106762032/6

LCM = 17793672

Thus, we can understand that the LCM of 214,507,984 is 17793672.

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

• LCM of 518, 645, 818
• LCM of 836, 200, 819
• LCM of 511, 563, 801
• LCM of 743, 906, 545
• LCM of 651, 258, 213

1. What is the LCM of 214, 507, 984?

Answer: LCM of 214, 507, 984 is 17793672.

2. How to calculate the LCM of 214, 507, 984?

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, 507, 984.

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}.