Given numbers are 398,644,305,108

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

The LCM of 398,644,305,108 is 1055364660.

Find LCM of 398,644,305,108 with Prime Factorization

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

2 x 2 x 199 x 161 x 305 x 27 = 1055364660

Therefore, the lowest common multiple of 398,644,305,108 is 1055364660.

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 644 x 305 x 108 = 8442917280

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

305 : 1, 5, 61, 305

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,644,305,108, is 1.

Now, the common factors can be found like this.

398:2x 199

644:2x 2x 7x 23

305:5x 61

108:2x 2x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 8442917280/(1x8)

LCM = 8442917280/8

LCM = 1055364660

Thus, we can understand that the LCM of 398,644,305,108 is 1055364660.

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

• LCM of 541, 321, 486, 820
• LCM of 876, 847, 848, 219
• LCM of 575, 651, 578, 473
• LCM of 263, 782, 732, 611
• LCM of 144, 499, 773, 965

1. What is the LCM of 398, 644, 305, 108?

Answer: LCM of 398, 644, 305, 108 is 1055364660.

2. How to calculate the LCM of 398, 644, 305, 108?

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, 644, 305, 108.

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}.