Given numbers are 598,320,480,812

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

The LCM of 598,320,480,812 is 58269120.

Find LCM of 598,320,480,812 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 299 x 2 x 3 x 203 = 58269120

Therefore, the lowest common multiple of 598,320,480,812 is 58269120.

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.

598 x 320 x 480 x 812 = 74584473600

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,320,480,812, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

320:2x 2x 2x 2x 2x 2x 5

480:2x 2x 2x 2x 2x 3x 5

812:2x 2x 7x 29

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 2x 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 74584473600/(2x640)

LCM = 74584473600/1280

LCM = 58269120

Thus, we can understand that the LCM of 598,320,480,812 is 58269120.

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

• LCM of 832, 901, 790, 112
• LCM of 705, 848, 931, 850
• LCM of 827, 557, 511, 700
• LCM of 447, 568, 350, 822
• LCM of 650, 723, 104, 444

1. What is the LCM of 598, 320, 480, 812?

Answer: LCM of 598, 320, 480, 812 is 58269120.

2. How to calculate the LCM of 598, 320, 480, 812?

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 598, 320, 480, 812.

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}.