Given numbers are 265,765,800,290

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

The LCM of 265,765,800,290 is 188128800.

Find LCM of 265,765,800,290 with Prime Factorization

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

2 x 5 x 53 x 153 x 80 x 29 = 188128800

Therefore, the lowest common multiple of 265,765,800,290 is 188128800.

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.

265 x 765 x 800 x 290 = 47032200000

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.

265 : 1, 5, 53, 265

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

290 : 1, 2, 5, 10, 29, 58, 145, 290

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,765,800,290, is 5.

Now, the common factors can be found like this.

265:5x 53

765:3x 3x 5x 17

800:2x 2x 2x 2x 2x 5x 5

290:2x 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.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 47032200000/(5x50)

LCM = 47032200000/250

LCM = 188128800

Thus, we can understand that the LCM of 265,765,800,290 is 188128800.

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

• LCM of 423, 290, 773, 558
• LCM of 772, 387, 655, 635
• LCM of 630, 896, 541, 905
• LCM of 584, 967, 810, 500
• LCM of 649, 356, 400, 819

1. What is the LCM of 265, 765, 800, 290?

Answer: LCM of 265, 765, 800, 290 is 188128800.

2. How to calculate the LCM of 265, 765, 800, 290?

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 265, 765, 800, 290.

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}.