Given numbers are 468,922,805,106,689

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

The LCM of 468,922,805,106,689 is 9204888420.

Find LCM of 468,922,805,106,689 with Prime Factorization

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

2 x 13 x 53 x 18 x 461 x 805 x 1 x 1 = 9204888420

Therefore, the lowest common multiple of 468,922,805,106,689 is 9204888420.

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.

468 x 922 x 805 x 106 x 689 = 25368672485520

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

922 : 1, 2, 461, 922

805 : 1, 5, 7, 23, 35, 115, 161, 805

106 : 1, 2, 53, 106

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,922,805,106,689, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

922:2x 461

805:5x 7x 23

106:2x 53

689:13x 53

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 13x 53 = 2756

Therefore, the value for common factors is 2756.

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 = 25368672485520/(1x2756)

LCM = 25368672485520/2756

LCM = 9204888420

Thus, we can understand that the LCM of 468,922,805,106,689 is 9204888420.

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

• LCM of 125, 155, 909, 848, 383
• LCM of 508, 696, 416, 851, 530
• LCM of 441, 512, 435, 101, 984
• LCM of 505, 439, 491, 118, 748
• LCM of 150, 575, 910, 288, 338

1. What is the LCM of 468, 922, 805, 106, 689?

Answer: LCM of 468, 922, 805, 106, 689 is 9204888420.

2. How to calculate the LCM of 468, 922, 805, 106, 689?

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 468, 922, 805, 106, 689.

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}.