Given numbers are 138,128,115,480

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

The LCM of 138,128,115,480 is 44160.

Find LCM of 138,128,115,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 1 x 4 x 1 x 1 = 44160

Therefore, the lowest common multiple of 138,128,115,480 is 44160.

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.

138 x 128 x 115 x 480 = 975052800

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

115 : 1, 5, 23, 115

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,128,115,480, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

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

115:5x 23

480:2x 2x 2x 2x 2x 3x 5

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 2x 3x 5x 23 = 22080

Therefore, the value for common factors is 22080.

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 = 975052800/(1x22080)

LCM = 975052800/22080

LCM = 44160

Thus, we can understand that the LCM of 138,128,115,480 is 44160.

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

• LCM of 647, 787, 843, 296
• LCM of 342, 710, 301, 637
• LCM of 200, 292, 680, 645
• LCM of 513, 181, 375, 423
• LCM of 831, 489, 738, 326

1. What is the LCM of 138, 128, 115, 480?

Answer: LCM of 138, 128, 115, 480 is 44160.

2. How to calculate the LCM of 138, 128, 115, 480?

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 138, 128, 115, 480.

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}.