Given numbers are 946,310,428,337,214

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

The LCM of 946,310,428,337,214 is 10574662340.

Find LCM of 946,310,428,337,214 with Prime Factorization

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

2 x 107 x 473 x 155 x 2 x 337 x 1 = 10574662340

Therefore, the lowest common multiple of 946,310,428,337,214 is 10574662340.

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 310 x 428 x 337 x 214 = 9051910963040

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

428 : 1, 2, 4, 107, 214, 428

337 : 1, 337

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,310,428,337,214, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

310:2x 5x 31

428:2x 2x 107

337:337

214:2x 107

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 2x 107 = 856

Therefore, the value for common factors is 856.

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 = 9051910963040/(1x856)

LCM = 9051910963040/856

LCM = 10574662340

Thus, we can understand that the LCM of 946,310,428,337,214 is 10574662340.

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

• LCM of 570, 755, 752, 596, 273
• LCM of 447, 463, 650, 373, 960
• LCM of 619, 359, 292, 827, 319
• LCM of 140, 539, 436, 164, 506
• LCM of 935, 890, 462, 784, 476

1. What is the LCM of 946, 310, 428, 337, 214?

Answer: LCM of 946, 310, 428, 337, 214 is 10574662340.

2. How to calculate the LCM of 946, 310, 428, 337, 214?

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, 310, 428, 337, 214.

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}.