Given numbers are 130,386,608,594,174

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

The LCM of 130,386,608,594,174 is 65694451680.

Find LCM of 130,386,608,594,174 with Prime Factorization

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

2 x 3 x 65 x 193 x 304 x 99 x 29 = 65694451680

Therefore, the lowest common multiple of 130,386,608,594,174 is 65694451680.

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.

130 x 386 x 608 x 594 x 174 = 3153333680640

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

386 : 1, 2, 193, 386

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 130,386,608,594,174, is 2.

Now, the common factors can be found like this.

130:2x 5x 13

386:2x 193

608:2x 2x 2x 2x 2x 19

594:2x 3x 3x 3x 11

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 = 3153333680640/(2x24)

LCM = 3153333680640/48

LCM = 65694451680

Thus, we can understand that the LCM of 130,386,608,594,174 is 65694451680.

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

• LCM of 381, 898, 749, 516, 264
• LCM of 442, 780, 544, 189, 290
• LCM of 660, 848, 942, 389, 615
• LCM of 376, 366, 603, 848, 571
• LCM of 238, 900, 102, 484, 182

1. What is the LCM of 130, 386, 608, 594, 174?

Answer: LCM of 130, 386, 608, 594, 174 is 65694451680.

2. How to calculate the LCM of 130, 386, 608, 594, 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 130, 386, 608, 594, 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}.