Given numbers are 285,560,529,221,745

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

The LCM of 285,560,529,221,745 is 556028556720.

Find LCM of 285,560,529,221,745 with Prime Factorization

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

5 x 57 x 112 x 529 x 221 x 149 = 556028556720

Therefore, the lowest common multiple of 285,560,529,221,745 is 556028556720.

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.

285 x 560 x 529 x 221 x 745 = 13900713918000

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

529 : 1, 23, 529

221 : 1, 13, 17, 221

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,560,529,221,745, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

560:2x 2x 2x 2x 5x 7

529:23x 23

221:13x 17

745:5x 149

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 13900713918000/(1x25)

LCM = 13900713918000/25

LCM = 556028556720

Thus, we can understand that the LCM of 285,560,529,221,745 is 556028556720.

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

• LCM of 117, 495, 945, 285, 652
• LCM of 106, 457, 499, 976, 391
• LCM of 361, 158, 120, 454, 648
• LCM of 766, 760, 770, 695, 201
• LCM of 558, 813, 668, 747, 557

1. What is the LCM of 285, 560, 529, 221, 745?

Answer: LCM of 285, 560, 529, 221, 745 is 556028556720.

2. How to calculate the LCM of 285, 560, 529, 221, 745?

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 285, 560, 529, 221, 745.

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}.