Given numbers are 398,230,450,941,608

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

The LCM of 398,230,450,941,608 is 589191717600.

Find LCM of 398,230,450,941,608 with Prime Factorization

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

2 x 5 x 199 x 23 x 45 x 941 x 304 = 589191717600

Therefore, the lowest common multiple of 398,230,450,941,608 is 589191717600.

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.

398 x 230 x 450 x 941 x 608 = 23567668704000

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.

398 : 1, 2, 199, 398

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

941 : 1, 941

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,230,450,941,608, is 1.

Now, the common factors can be found like this.

398:2x 199

230:2x 5x 23

450:2x 3x 3x 5x 5

941:941

608:2x 2x 2x 2x 2x 19

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 23567668704000/(1x40)

LCM = 23567668704000/40

LCM = 589191717600

Thus, we can understand that the LCM of 398,230,450,941,608 is 589191717600.

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

• LCM of 213, 861, 676, 754, 723
• LCM of 702, 915, 849, 338, 443
• LCM of 344, 715, 180, 862, 651
• LCM of 833, 183, 876, 977, 255
• LCM of 830, 171, 953, 519, 613

1. What is the LCM of 398, 230, 450, 941, 608?

Answer: LCM of 398, 230, 450, 941, 608 is 589191717600.

2. How to calculate the LCM of 398, 230, 450, 941, 608?

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 398, 230, 450, 941, 608.

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}.