Given numbers are 224,107,566,972,879

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

The LCM of 224,107,566,972,879 is 482938829856.

Find LCM of 224,107,566,972,879 with Prime Factorization

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

2 x 2 x 3 x 56 x 107 x 283 x 81 x 293 = 482938829856

Therefore, the lowest common multiple of 224,107,566,972,879 is 482938829856.

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 107 x 566 x 972 x 879 = 11590531916544

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

107 : 1, 107

566 : 1, 2, 283, 566

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,107,566,972,879, is 1.

Now, the common factors can be found like this.

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

107:107

566:2x 283

972:2x 2x 3x 3x 3x 3x 3

879:3x 293

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11590531916544/(1x24)

LCM = 11590531916544/24

LCM = 482938829856

Thus, we can understand that the LCM of 224,107,566,972,879 is 482938829856.

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

• LCM of 377, 953, 168, 377, 669
• LCM of 209, 794, 621, 693, 690
• LCM of 636, 961, 496, 445, 424
• LCM of 814, 772, 551, 934, 142
• LCM of 388, 525, 536, 960, 232

1. What is the LCM of 224, 107, 566, 972, 879?

Answer: LCM of 224, 107, 566, 972, 879 is 482938829856.

2. How to calculate the LCM of 224, 107, 566, 972, 879?

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, 107, 566, 972, 879.

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}.