Given numbers are 802,303,470,560,466

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

The LCM of 802,303,470,560,466 is 745124437680.

Find LCM of 802,303,470,560,466 with Prime Factorization

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

2 x 5 x 401 x 303 x 47 x 56 x 233 = 745124437680

Therefore, the lowest common multiple of 802,303,470,560,466 is 745124437680.

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.

802 x 303 x 470 x 560 x 466 = 29804977507200

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.

802 : 1, 2, 401, 802

303 : 1, 3, 101, 303

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,303,470,560,466, is 1.

Now, the common factors can be found like this.

802:2x 401

303:3x 101

470:2x 5x 47

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

466:2x 233

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 5 = 40

Therefore, the value for common factors is 40.

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 = 29804977507200/(1x40)

LCM = 29804977507200/40

LCM = 745124437680

Thus, we can understand that the LCM of 802,303,470,560,466 is 745124437680.

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

• LCM of 695, 785, 701, 575, 999
• LCM of 607, 480, 954, 523, 105
• LCM of 786, 316, 108, 839, 993
• LCM of 293, 773, 602, 229, 346
• LCM of 676, 286, 508, 957, 327

1. What is the LCM of 802, 303, 470, 560, 466?

Answer: LCM of 802, 303, 470, 560, 466 is 745124437680.

2. How to calculate the LCM of 802, 303, 470, 560, 466?

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 802, 303, 470, 560, 466.

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}.