Given numbers are 801,280,305

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

The LCM of 801,280,305 is 13681080.

Find LCM of 801,280,305 with Prime Factorization

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

5 x 801 x 56 x 61 = 13681080

Therefore, the lowest common multiple of 801,280,305 is 13681080.

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.

801 x 280 x 305 = 68405400

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.

801 : 1, 3, 9, 89, 267, 801

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,280,305, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

280:2x 2x 2x 5x 7

305:5x 61

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

5 = 5

Therefore, the value for common factors is 5.

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 = 68405400/(1x5)

LCM = 68405400/5

LCM = 13681080

Thus, we can understand that the LCM of 801,280,305 is 13681080.

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

• LCM of 968, 602, 146
• LCM of 277, 913, 188
• LCM of 255, 329, 423
• LCM of 573, 460, 895
• LCM of 827, 498, 532

1. What is the LCM of 801, 280, 305?

Answer: LCM of 801, 280, 305 is 13681080.

2. How to calculate the LCM of 801, 280, 305?

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 801, 280, 305.

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}.