Given numbers are 842,701,900,621,460

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

The LCM of 842,701,900,621,460 is 18327014100.

Find LCM of 842,701,900,621,460 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 421 x 701 x 5 x 3 x 1 = 18327014100

Therefore, the lowest common multiple of 842,701,900,621,460 is 18327014100.

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.

842 x 701 x 900 x 621 x 460 = 151747676748000

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.

842 : 1, 2, 421, 842

701 : 1, 701

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

621 : 1, 3, 9, 23, 27, 69, 207, 621

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,701,900,621,460, is 1.

Now, the common factors can be found like this.

842:2x 421

701:701

900:2x 2x 3x 3x 5x 5

621:3x 3x 3x 23

460:2x 2x 5x 23

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 5x 23 = 8280

Therefore, the value for common factors is 8280.

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 = 151747676748000/(1x8280)

LCM = 151747676748000/8280

LCM = 18327014100

Thus, we can understand that the LCM of 842,701,900,621,460 is 18327014100.

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

• LCM of 605, 781, 584, 944, 936
• LCM of 365, 162, 945, 461, 164
• LCM of 910, 131, 255, 694, 259
• LCM of 557, 427, 404, 669, 380
• LCM of 510, 611, 212, 571, 112

1. What is the LCM of 842, 701, 900, 621, 460?

Answer: LCM of 842, 701, 900, 621, 460 is 18327014100.

2. How to calculate the LCM of 842, 701, 900, 621, 460?

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 842, 701, 900, 621, 460.

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}.