Given numbers are 946,566,301,414

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

The LCM of 946,566,301,414 is 387923382.

Find LCM of 946,566,301,414 with Prime Factorization

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

2 x 43 x 11 x 283 x 7 x 207 = 387923382

Therefore, the lowest common multiple of 946,566,301,414 is 387923382.

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.

946 x 566 x 301 x 414 = 66722821704

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

566 : 1, 2, 283, 566

301 : 1, 7, 43, 301

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,566,301,414, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

566:2x 283

301:7x 43

414:2x 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 43 = 172

Therefore, the value for common factors is 172.

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 = 66722821704/(1x172)

LCM = 66722821704/172

LCM = 387923382

Thus, we can understand that the LCM of 946,566,301,414 is 387923382.

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

• LCM of 397, 968, 435, 732
• LCM of 134, 176, 670, 776
• LCM of 300, 631, 780, 555
• LCM of 633, 671, 293, 967
• LCM of 210, 422, 503, 180

1. What is the LCM of 946, 566, 301, 414?

Answer: LCM of 946, 566, 301, 414 is 387923382.

2. How to calculate the LCM of 946, 566, 301, 414?

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 946, 566, 301, 414.

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}.