Given numbers are 426,894,802,560,462

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

The LCM of 426,894,802,560,462 is 78395467920.

Find LCM of 426,894,802,560,462 with Prime Factorization

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

2 x 3 x 7 x 71 x 149 x 401 x 40 x 11 = 78395467920

Therefore, the lowest common multiple of 426,894,802,560,462 is 78395467920.

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.

426 x 894 x 802 x 560 x 462 = 79022631663360

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

894 : 1, 2, 3, 6, 149, 298, 447, 894

802 : 1, 2, 401, 802

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,894,802,560,462, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

894:2x 3x 149

802:2x 401

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

462:2x 3x 7x 11

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 79022631663360/(2x504)

LCM = 79022631663360/1008

LCM = 78395467920

Thus, we can understand that the LCM of 426,894,802,560,462 is 78395467920.

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

• LCM of 420, 780, 126, 526, 359
• LCM of 479, 654, 331, 140, 771
• LCM of 359, 331, 694, 650, 702
• LCM of 428, 776, 749, 369, 862
• LCM of 518, 265, 287, 586, 511

1. What is the LCM of 426, 894, 802, 560, 462?

Answer: LCM of 426, 894, 802, 560, 462 is 78395467920.

2. How to calculate the LCM of 426, 894, 802, 560, 462?

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 426, 894, 802, 560, 462.

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}.