Given numbers are 128,598,420,174

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

The LCM of 128,598,420,174 is 116538240.

Find LCM of 128,598,420,174 with Prime Factorization

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

2 x 2 x 3 x 32 x 299 x 35 x 29 = 116538240

Therefore, the lowest common multiple of 128,598,420,174 is 116538240.

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.

128 x 598 x 420 x 174 = 5593835520

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.

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

174 : 1, 2, 3, 6, 29, 58, 87, 174

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,598,420,174, is 2.

Now, the common factors can be found like this.

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

598:2x 13x 23

420:2x 2x 3x 5x 7

174:2x 3x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5593835520/(2x24)

LCM = 5593835520/48

LCM = 116538240

Thus, we can understand that the LCM of 128,598,420,174 is 116538240.

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

• LCM of 755, 810, 601, 154
• LCM of 272, 474, 508, 741
• LCM of 855, 965, 849, 221
• LCM of 100, 986, 211, 266
• LCM of 346, 293, 677, 682

1. What is the LCM of 128, 598, 420, 174?

Answer: LCM of 128, 598, 420, 174 is 116538240.

2. How to calculate the LCM of 128, 598, 420, 174?

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 128, 598, 420, 174.

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}.