Given numbers are 585,292,420,960

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

The LCM of 585,292,420,960 is 19131840.

Find LCM of 585,292,420,960 with Prime Factorization

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

2 x 2 x 3 x 5 x 39 x 73 x 7 x 16 = 19131840

Therefore, the lowest common multiple of 585,292,420,960 is 19131840.

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.

585 x 292 x 420 x 960 = 68874624000

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

292 : 1, 2, 4, 73, 146, 292

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,292,420,960, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

292:2x 2x 73

420:2x 2x 3x 5x 7

960:2x 2x 2x 2x 2x 2x 3x 5

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 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 68874624000/(1x3600)

LCM = 68874624000/3600

LCM = 19131840

Thus, we can understand that the LCM of 585,292,420,960 is 19131840.

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

• LCM of 539, 724, 637, 781
• LCM of 994, 487, 807, 561
• LCM of 166, 890, 855, 180
• LCM of 586, 532, 961, 804
• LCM of 185, 929, 926, 146

1. What is the LCM of 585, 292, 420, 960?

Answer: LCM of 585, 292, 420, 960 is 19131840.

2. How to calculate the LCM of 585, 292, 420, 960?

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 585, 292, 420, 960.

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}.