Given numbers are 414,810,128,207

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

The LCM of 414,810,128,207 is 1192320.

Find LCM of 414,810,128,207 with Prime Factorization

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

2 x 3 x 3 x 23 x 1 x 45 x 64 x 1 = 1192320

Therefore, the lowest common multiple of 414,810,128,207 is 1192320.

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.

414 x 810 x 128 x 207 = 8885168640

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.

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

128 : 1, 2, 4, 8, 16, 32, 64, 128

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 414,810,128,207, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

810:2x 3x 3x 3x 3x 5

128:2x 2x 2x 2x 2x 2x 2

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 2x 3x 3x 3x 3x 23 = 7452

Therefore, the value for common factors is 7452.

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 = 8885168640/(1x7452)

LCM = 8885168640/7452

LCM = 1192320

Thus, we can understand that the LCM of 414,810,128,207 is 1192320.

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

• LCM of 857, 661, 926, 971
• LCM of 588, 737, 122, 629
• LCM of 178, 109, 109, 441
• LCM of 830, 665, 758, 183
• LCM of 960, 594, 557, 314

1. What is the LCM of 414, 810, 128, 207?

Answer: LCM of 414, 810, 128, 207 is 1192320.

2. How to calculate the LCM of 414, 810, 128, 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 414, 810, 128, 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}.