Given numbers are 224,646,216,617,584

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

The LCM of 224,646,216,617,584 is 87987773664.

Find LCM of 224,646,216,617,584 with Prime Factorization

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

2 x 2 x 2 x 28 x 323 x 27 x 617 x 73 = 87987773664

Therefore, the lowest common multiple of 224,646,216,617,584 is 87987773664.

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.

224 x 646 x 216 x 617 x 584 = 11262435028992

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

646 : 1, 2, 17, 19, 34, 38, 323, 646

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

617 : 1, 617

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,646,216,617,584, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

646:2x 17x 19

216:2x 2x 2x 3x 3x 3

617:617

584:2x 2x 2x 73

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 2 = 128

Therefore, the value for common factors is 128.

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 = 11262435028992/(1x128)

LCM = 11262435028992/128

LCM = 87987773664

Thus, we can understand that the LCM of 224,646,216,617,584 is 87987773664.

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

• LCM of 393, 766, 933, 313, 361
• LCM of 700, 834, 662, 678, 785
• LCM of 915, 272, 288, 900, 272
• LCM of 238, 400, 896, 779, 247
• LCM of 769, 266, 915, 500, 698

1. What is the LCM of 224, 646, 216, 617, 584?

Answer: LCM of 224, 646, 216, 617, 584 is 87987773664.

2. How to calculate the LCM of 224, 646, 216, 617, 584?

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 224, 646, 216, 617, 584.

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}.