Given numbers are 461,798,442,990,880

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

The LCM of 461,798,442,990,880 is 107317370160.

Find LCM of 461,798,442,990,880 with Prime Factorization

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

2 x 3 x 5 x 11 x 461 x 133 x 221 x 3 x 8 = 107317370160

Therefore, the lowest common multiple of 461,798,442,990,880 is 107317370160.

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.

461 x 798 x 442 x 990 x 880 = 141658928611200

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.

461 : 1, 461

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

442 : 1, 2, 13, 17, 26, 34, 221, 442

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 461,798,442,990,880, is 1.

Now, the common factors can be found like this.

461:461

798:2x 3x 7x 19

442:2x 13x 17

990:2x 3x 3x 5x 11

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 141658928611200/(1x1320)

LCM = 141658928611200/1320

LCM = 107317370160

Thus, we can understand that the LCM of 461,798,442,990,880 is 107317370160.

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

• LCM of 748, 877, 836, 244, 164
• LCM of 687, 805, 958, 485, 212
• LCM of 410, 936, 172, 497, 320
• LCM of 180, 506, 353, 101, 236
• LCM of 937, 656, 543, 529, 123

1. What is the LCM of 461, 798, 442, 990, 880?

Answer: LCM of 461, 798, 442, 990, 880 is 107317370160.

2. How to calculate the LCM of 461, 798, 442, 990, 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 461, 798, 442, 990, 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}.