Given numbers are 585,537,278,688

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

The LCM of 585,537,278,688 is 10014104880.

Find LCM of 585,537,278,688 with Prime Factorization

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

2 x 3 x 195 x 179 x 139 x 344 = 10014104880

Therefore, the lowest common multiple of 585,537,278,688 is 10014104880.

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 537 x 278 x 688 = 60084629280

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

537 : 1, 3, 179, 537

278 : 1, 2, 139, 278

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,537,278,688, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

537:3x 179

278:2x 139

688:2x 2x 2x 2x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 60084629280/(1x6)

LCM = 60084629280/6

LCM = 10014104880

Thus, we can understand that the LCM of 585,537,278,688 is 10014104880.

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

• LCM of 489, 261, 858, 366
• LCM of 463, 851, 969, 850
• LCM of 267, 442, 364, 420
• LCM of 189, 943, 461, 415
• LCM of 362, 170, 250, 155

1. What is the LCM of 585, 537, 278, 688?

Answer: LCM of 585, 537, 278, 688 is 10014104880.

2. How to calculate the LCM of 585, 537, 278, 688?

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, 537, 278, 688.

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}.