Given numbers are 586,20,128

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

The LCM of 586,20,128 is 187520.

Find LCM of 586,20,128 with Prime Factorization

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

2 x 2 x 293 x 5 x 32 = 187520

Therefore, the lowest common multiple of 586,20,128 is 187520.

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.

586 x 20 x 128 = 1500160

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.

586 : 1, 2, 293, 586

20 : 1, 2, 4, 5, 10, 20

128 : 1, 2, 4, 8, 16, 32, 64, 128

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,20,128, is 2.

Now, the common factors can be found like this.

586:2x 293

20:2x 2x 5

128:2x 2x 2x 2x 2x 2x 2

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1500160/(2x4)

LCM = 1500160/8

LCM = 187520

Thus, we can understand that the LCM of 586,20,128 is 187520.

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

• LCM of 463, 96, 606
• LCM of 982, 48, 991
• LCM of 707, 20, 193
• LCM of 600, 13, 943
• LCM of 921, 60, 741

1. What is the LCM of 586, 20, 128?

Answer: LCM of 586, 20, 128 is 187520.

2. How to calculate the LCM of 586, 20, 128?

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 586, 20, 128.

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}.