Given numbers are 609,273,104,221,675

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

The LCM of 609,273,104,221,675 is 242260200.

Find LCM of 609,273,104,221,675 with Prime Factorization

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

3 x 7 x 13 x 29 x 1 x 8 x 17 x 225 = 242260200

Therefore, the lowest common multiple of 609,273,104,221,675 is 242260200.

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.

609 x 273 x 104 x 221 x 675 = 2579344349400

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

273 : 1, 3, 7, 13, 21, 39, 91, 273

104 : 1, 2, 4, 8, 13, 26, 52, 104

221 : 1, 13, 17, 221

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,273,104,221,675, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

273:3x 7x 13

104:2x 2x 2x 13

221:13x 17

675:3x 3x 3x 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.

3x 3x 7x 13x 13 = 10647

Therefore, the value for common factors is 10647.

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 = 2579344349400/(1x10647)

LCM = 2579344349400/10647

LCM = 242260200

Thus, we can understand that the LCM of 609,273,104,221,675 is 242260200.

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

• LCM of 644, 749, 300, 816, 464
• LCM of 100, 818, 782, 628, 809
• LCM of 351, 618, 152, 178, 285
• LCM of 780, 830, 850, 529, 483
• LCM of 599, 173, 914, 415, 701

1. What is the LCM of 609, 273, 104, 221, 675?

Answer: LCM of 609, 273, 104, 221, 675 is 242260200.

2. How to calculate the LCM of 609, 273, 104, 221, 675?

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 609, 273, 104, 221, 675.

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}.