Given numbers are 586,924,930,132

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

The LCM of 586,924,930,132 is 41963460.

Find LCM of 586,924,930,132 with Prime Factorization

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

2 x 2 x 3 x 11 x 293 x 7 x 155 x 1 = 41963460

Therefore, the lowest common multiple of 586,924,930,132 is 41963460.

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.

586 x 924 x 930 x 132 = 66470120640

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.

586 : 1, 2, 293, 586

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,924,930,132, is 2.

Now, the common factors can be found like this.

586:2x 293

924:2x 2x 3x 7x 11

930:2x 3x 5x 31

132:2x 2x 3x 11

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 66470120640/(2x792)

LCM = 66470120640/1584

LCM = 41963460

Thus, we can understand that the LCM of 586,924,930,132 is 41963460.

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

• LCM of 743, 574, 152, 511
• LCM of 950, 709, 477, 718
• LCM of 587, 519, 973, 573
• LCM of 267, 737, 374, 788
• LCM of 450, 472, 285, 911

1. What is the LCM of 586, 924, 930, 132?

Answer: LCM of 586, 924, 930, 132 is 41963460.

2. How to calculate the LCM of 586, 924, 930, 132?

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 586, 924, 930, 132.

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}.