Given numbers are 205,722,450,11

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

The LCM of 205,722,450,11 is 73264950.

Find LCM of 205,722,450,11 with Prime Factorization

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

2 x 5 x 41 x 361 x 45 x 11 = 73264950

Therefore, the lowest common multiple of 205,722,450,11 is 73264950.

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.

205 x 722 x 450 x 11 = 732649500

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.

205 : 1, 5, 41, 205

722 : 1, 2, 19, 38, 361, 722

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

11 : 1, 11

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,722,450,11, is 1.

Now, the common factors can be found like this.

205:5x 41

722:2x 19x 19

450:2x 3x 3x 5x 5

11:11

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 732649500/(1x10)

LCM = 732649500/10

LCM = 73264950

Thus, we can understand that the LCM of 205,722,450,11 is 73264950.

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

• LCM of 875, 276, 739, 33
• LCM of 978, 665, 899, 79
• LCM of 256, 319, 697, 61
• LCM of 469, 506, 290, 47
• LCM of 394, 117, 316, 66

1. What is the LCM of 205, 722, 450, 11?

Answer: LCM of 205, 722, 450, 11 is 73264950.

2. How to calculate the LCM of 205, 722, 450, 11?

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 205, 722, 450, 11.

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}.