Given numbers are 207,736,214,193

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

The LCM of 207,736,214,193 is 136792224.

Find LCM of 207,736,214,193 with Prime Factorization

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

2 x 23 x 9 x 16 x 107 x 193 = 136792224

Therefore, the lowest common multiple of 207,736,214,193 is 136792224.

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.

207 x 736 x 214 x 193 = 6292442304

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.

207 : 1, 3, 9, 23, 69, 207

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

214 : 1, 2, 107, 214

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,736,214,193, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

736:2x 2x 2x 2x 2x 23

214:2x 107

193:193

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 6292442304/(1x46)

LCM = 6292442304/46

LCM = 136792224

Thus, we can understand that the LCM of 207,736,214,193 is 136792224.

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

• LCM of 574, 190, 638, 939
• LCM of 310, 154, 202, 552
• LCM of 804, 268, 734, 105
• LCM of 537, 632, 676, 849
• LCM of 126, 221, 913, 547

1. What is the LCM of 207, 736, 214, 193?

Answer: LCM of 207, 736, 214, 193 is 136792224.

2. How to calculate the LCM of 207, 736, 214, 193?

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 207, 736, 214, 193.

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}.