Given numbers are 313,380,880,646,100

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

The LCM of 313,380,880,646,100 is 444835600.

Find LCM of 313,380,880,646,100 with Prime Factorization

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

2 x 2 x 5 x 19 x 313 x 1 x 44 x 17 x 5 = 444835600

Therefore, the lowest common multiple of 313,380,880,646,100 is 444835600.

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.

313 x 380 x 880 x 646 x 100 = 6761501120000

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.

313 : 1, 313

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,380,880,646,100, is 1.

Now, the common factors can be found like this.

313:313

380:2x 2x 5x 19

880:2x 2x 2x 2x 5x 11

646:2x 17x 19

100:2x 2x 5x 5

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 2x 5x 5x 19 = 15200

Therefore, the value for common factors is 15200.

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 = 6761501120000/(1x15200)

LCM = 6761501120000/15200

LCM = 444835600

Thus, we can understand that the LCM of 313,380,880,646,100 is 444835600.

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

• LCM of 326, 616, 825, 998, 302
• LCM of 169, 877, 536, 151, 367
• LCM of 687, 709, 845, 976, 363
• LCM of 558, 694, 132, 234, 259
• LCM of 512, 957, 566, 652, 555

1. What is the LCM of 313, 380, 880, 646, 100?

Answer: LCM of 313, 380, 880, 646, 100 is 444835600.

2. How to calculate the LCM of 313, 380, 880, 646, 100?

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 313, 380, 880, 646, 100.

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}.