Given numbers are 617,462,811,888,880

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

The LCM of 617,462,811,888,880 is 342144615120.

Find LCM of 617,462,811,888,880 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 617 x 7 x 811 x 37 x 10 = 342144615120

Therefore, the lowest common multiple of 617,462,811,888,880 is 342144615120.

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.

617 x 462 x 811 x 888 x 880 = 180652356783360

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.

617 : 1, 617

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

811 : 1, 811

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,462,811,888,880, is 1.

Now, the common factors can be found like this.

617:617

462:2x 3x 7x 11

811:811

888:2x 2x 2x 3x 37

880:2x 2x 2x 2x 5x 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 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 180652356783360/(1x528)

LCM = 180652356783360/528

LCM = 342144615120

Thus, we can understand that the LCM of 617,462,811,888,880 is 342144615120.

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

• LCM of 487, 131, 505, 198, 504
• LCM of 728, 743, 141, 427, 713
• LCM of 481, 453, 109, 693, 457
• LCM of 868, 926, 391, 303, 591
• LCM of 784, 979, 758, 850, 813

1. What is the LCM of 617, 462, 811, 888, 880?

Answer: LCM of 617, 462, 811, 888, 880 is 342144615120.

2. How to calculate the LCM of 617, 462, 811, 888, 880?

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 617, 462, 811, 888, 880.

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}.