Given numbers are 825,159,225,552,263

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

The LCM of 825,159,225,552,263 is 6347820600.

Find LCM of 825,159,225,552,263 with Prime Factorization

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

3 x 5 x 5 x 11 x 53 x 3 x 184 x 263 = 6347820600

Therefore, the lowest common multiple of 825,159,225,552,263 is 6347820600.

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.

825 x 159 x 225 x 552 x 263 = 4284778905000

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

159 : 1, 3, 53, 159

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,159,225,552,263, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

159:3x 53

225:3x 3x 5x 5

552:2x 2x 2x 3x 23

263:263

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

3x 3x 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 4284778905000/(1x675)

LCM = 4284778905000/675

LCM = 6347820600

Thus, we can understand that the LCM of 825,159,225,552,263 is 6347820600.

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

• LCM of 120, 208, 496, 104, 593
• LCM of 908, 315, 975, 344, 673
• LCM of 525, 824, 122, 267, 384
• LCM of 664, 254, 565, 878, 477
• LCM of 170, 305, 254, 215, 311

1. What is the LCM of 825, 159, 225, 552, 263?

Answer: LCM of 825, 159, 225, 552, 263 is 6347820600.

2. How to calculate the LCM of 825, 159, 225, 552, 263?

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 825, 159, 225, 552, 263.

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}.