Given numbers are 408,449,116,908,788

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

The LCM of 408,449,116,908,788 is 237572728392.

Find LCM of 408,449,116,908,788 with Prime Factorization

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

2 x 2 x 102 x 449 x 29 x 227 x 197 = 237572728392

Therefore, the lowest common multiple of 408,449,116,908,788 is 237572728392.

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.

408 x 449 x 116 x 908 x 788 = 15204654617088

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

449 : 1, 449

116 : 1, 2, 4, 29, 58, 116

908 : 1, 2, 4, 227, 454, 908

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,449,116,908,788, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

449:449

116:2x 2x 29

908:2x 2x 227

788:2x 2x 197

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 15204654617088/(1x64)

LCM = 15204654617088/64

LCM = 237572728392

Thus, we can understand that the LCM of 408,449,116,908,788 is 237572728392.

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

• LCM of 934, 890, 230, 337, 406
• LCM of 348, 537, 598, 119, 334
• LCM of 277, 297, 958, 558, 143
• LCM of 159, 813, 504, 921, 375
• LCM of 364, 717, 873, 240, 665

1. What is the LCM of 408, 449, 116, 908, 788?

Answer: LCM of 408, 449, 116, 908, 788 is 237572728392.

2. How to calculate the LCM of 408, 449, 116, 908, 788?

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 408, 449, 116, 908, 788.

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}.