Given numbers are 130,230,150,409,683

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

The LCM of 130,230,150,409,683 is 12528712950.

Find LCM of 130,230,150,409,683 with Prime Factorization

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

2 x 5 x 13 x 23 x 15 x 409 x 683 = 12528712950

Therefore, the lowest common multiple of 130,230,150,409,683 is 12528712950.

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 230 x 150 x 409 x 683 = 1252871295000

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

409 : 1, 409

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,230,150,409,683, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

230:2x 5x 23

150:2x 3x 5x 5

409:409

683:683

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 1252871295000/(1x100)

LCM = 1252871295000/100

LCM = 12528712950

Thus, we can understand that the LCM of 130,230,150,409,683 is 12528712950.

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

• LCM of 838, 391, 282, 538, 203
• LCM of 809, 216, 479, 662, 239
• LCM of 942, 886, 443, 215, 423
• LCM of 614, 602, 130, 289, 174
• LCM of 731, 309, 841, 230, 738

1. What is the LCM of 130, 230, 150, 409, 683?

Answer: LCM of 130, 230, 150, 409, 683 is 12528712950.

2. How to calculate the LCM of 130, 230, 150, 409, 683?

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, 230, 150, 409, 683.

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}.