Given numbers are 724,807,450,133,993

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

The LCM of 724,807,450,133,993 is 1929092262300.

Find LCM of 724,807,450,133,993 with Prime Factorization

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

2 x 3 x 362 x 269 x 75 x 133 x 331 = 1929092262300

Therefore, the lowest common multiple of 724,807,450,133,993 is 1929092262300.

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.

724 x 807 x 450 x 133 x 993 = 34723660721400

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.

724 : 1, 2, 4, 181, 362, 724

807 : 1, 3, 269, 807

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

133 : 1, 7, 19, 133

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,807,450,133,993, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

807:3x 269

450:2x 3x 3x 5x 5

133:7x 19

993:3x 331

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 34723660721400/(1x18)

LCM = 34723660721400/18

LCM = 1929092262300

Thus, we can understand that the LCM of 724,807,450,133,993 is 1929092262300.

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

• LCM of 216, 333, 609, 393, 701
• LCM of 311, 319, 203, 979, 828
• LCM of 510, 678, 189, 412, 598
• LCM of 503, 947, 838, 150, 469
• LCM of 899, 817, 396, 538, 838

1. What is the LCM of 724, 807, 450, 133, 993?

Answer: LCM of 724, 807, 450, 133, 993 is 1929092262300.

2. How to calculate the LCM of 724, 807, 450, 133, 993?

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 724, 807, 450, 133, 993.

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}.