Given numbers are 736,307,414,207

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

The LCM of 736,307,414,207 is 2033568.

Find LCM of 736,307,414,207 with Prime Factorization

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

2 x 3 x 3 x 23 x 16 x 307 x 1 x 1 = 2033568

Therefore, the lowest common multiple of 736,307,414,207 is 2033568.

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.

736 x 307 x 414 x 207 = 19363634496

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.

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

307 : 1, 307

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,307,414,207, is 1.

Now, the common factors can be found like this.

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

307:307

414:2x 3x 3x 23

207:3x 3x 23

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

2x 3x 3x 23x 23 = 9522

Therefore, the value for common factors is 9522.

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 = 19363634496/(1x9522)

LCM = 19363634496/9522

LCM = 2033568

Thus, we can understand that the LCM of 736,307,414,207 is 2033568.

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

• LCM of 378, 159, 712, 895
• LCM of 668, 909, 432, 582
• LCM of 627, 900, 996, 583
• LCM of 252, 775, 341, 333
• LCM of 762, 818, 123, 321

1. What is the LCM of 736, 307, 414, 207?

Answer: LCM of 736, 307, 414, 207 is 2033568.

2. How to calculate the LCM of 736, 307, 414, 207?

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 736, 307, 414, 207.

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}.