Given numbers are 505,305,807,145

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

The LCM of 505,305,807,145 is 720929415.

Find LCM of 505,305,807,145 with Prime Factorization

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

5 x 101 x 61 x 807 x 29 = 720929415

Therefore, the lowest common multiple of 505,305,807,145 is 720929415.

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.

505 x 305 x 807 x 145 = 18023235375

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.

505 : 1, 5, 101, 505

305 : 1, 5, 61, 305

807 : 1, 3, 269, 807

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,305,807,145, is 1.

Now, the common factors can be found like this.

505:5x 101

305:5x 61

807:3x 269

145:5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 18023235375/(1x25)

LCM = 18023235375/25

LCM = 720929415

Thus, we can understand that the LCM of 505,305,807,145 is 720929415.

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

• LCM of 326, 386, 990, 676
• LCM of 895, 840, 551, 305
• LCM of 409, 131, 906, 193
• LCM of 543, 163, 313, 498
• LCM of 811, 298, 656, 921

1. What is the LCM of 505, 305, 807, 145?

Answer: LCM of 505, 305, 807, 145 is 720929415.

2. How to calculate the LCM of 505, 305, 807, 145?

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 505, 305, 807, 145.

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}.