Given numbers are 152,351,193,978,460

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

The LCM of 152,351,193,978,460 is 193016065320.

Find LCM of 152,351,193,978,460 with Prime Factorization

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

2 x 2 x 3 x 38 x 117 x 193 x 163 x 115 = 193016065320

Therefore, the lowest common multiple of 152,351,193,978,460 is 193016065320.

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.

152 x 351 x 193 x 978 x 460 = 4632385567680

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

351 : 1, 3, 9, 13, 27, 39, 117, 351

193 : 1, 193

978 : 1, 2, 3, 6, 163, 326, 489, 978

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,351,193,978,460, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

351:3x 3x 3x 13

193:193

978:2x 3x 163

460:2x 2x 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 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 = 4632385567680/(1x24)

LCM = 4632385567680/24

LCM = 193016065320

Thus, we can understand that the LCM of 152,351,193,978,460 is 193016065320.

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

• LCM of 298, 451, 129, 758, 919
• LCM of 986, 111, 375, 333, 256
• LCM of 609, 766, 783, 487, 544
• LCM of 385, 837, 904, 690, 953
• LCM of 417, 378, 965, 273, 293

1. What is the LCM of 152, 351, 193, 978, 460?

Answer: LCM of 152, 351, 193, 978, 460 is 193016065320.

2. How to calculate the LCM of 152, 351, 193, 978, 460?

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 152, 351, 193, 978, 460.

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}.