Given numbers are 144,284,268,115

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

The LCM of 144,284,268,115 is 78775920.

Find LCM of 144,284,268,115 with Prime Factorization

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

2 x 2 x 36 x 71 x 67 x 115 = 78775920

Therefore, the lowest common multiple of 144,284,268,115 is 78775920.

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.

144 x 284 x 268 x 115 = 1260414720

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

284 : 1, 2, 4, 71, 142, 284

268 : 1, 2, 4, 67, 134, 268

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,284,268,115, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

284:2x 2x 71

268:2x 2x 67

115:5x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1260414720/(1x16)

LCM = 1260414720/16

LCM = 78775920

Thus, we can understand that the LCM of 144,284,268,115 is 78775920.

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

• LCM of 454, 533, 630, 191
• LCM of 219, 984, 378, 317
• LCM of 862, 805, 309, 862
• LCM of 965, 997, 732, 765
• LCM of 407, 235, 328, 340

1. What is the LCM of 144, 284, 268, 115?

Answer: LCM of 144, 284, 268, 115 is 78775920.

2. How to calculate the LCM of 144, 284, 268, 115?

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 144, 284, 268, 115.

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}.