Given numbers are 920,205,310,515,550

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

The LCM of 920,205,310,515,550 is 6624197800.

Find LCM of 920,205,310,515,550 with Prime Factorization

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

2 x 5 x 92 x 41 x 31 x 103 x 55 = 6624197800

Therefore, the lowest common multiple of 920,205,310,515,550 is 6624197800.

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.

920 x 205 x 310 x 515 x 550 = 16560494500000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

205 : 1, 5, 41, 205

310 : 1, 2, 5, 10, 31, 62, 155, 310

515 : 1, 5, 103, 515

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,205,310,515,550, is 5.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

205:5x 41

310:2x 5x 31

515:5x 103

550:2x 5x 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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 16560494500000/(5x500)

LCM = 16560494500000/2500

LCM = 6624197800

Thus, we can understand that the LCM of 920,205,310,515,550 is 6624197800.

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

• LCM of 869, 708, 469, 967, 732
• LCM of 129, 205, 700, 661, 436
• LCM of 218, 976, 358, 932, 860
• LCM of 751, 935, 540, 454, 983
• LCM of 222, 305, 816, 895, 393

1. What is the LCM of 920, 205, 310, 515, 550?

Answer: LCM of 920, 205, 310, 515, 550 is 6624197800.

2. How to calculate the LCM of 920, 205, 310, 515, 550?

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 920, 205, 310, 515, 550.

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}.