Given numbers are 130,217,183,442

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

The LCM of 130,217,183,442 is 87761310.

Find LCM of 130,217,183,442 with Prime Factorization

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

2 x 13 x 5 x 217 x 183 x 17 = 87761310

Therefore, the lowest common multiple of 130,217,183,442 is 87761310.

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 217 x 183 x 442 = 2281794060

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

217 : 1, 7, 31, 217

183 : 1, 3, 61, 183

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,217,183,442, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

217:7x 31

183:3x 61

442:2x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 2281794060/(1x26)

LCM = 2281794060/26

LCM = 87761310

Thus, we can understand that the LCM of 130,217,183,442 is 87761310.

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

• LCM of 676, 398, 593, 628
• LCM of 508, 746, 583, 822
• LCM of 197, 323, 922, 371
• LCM of 297, 453, 740, 944
• LCM of 909, 159, 767, 193

1. What is the LCM of 130, 217, 183, 442?

Answer: LCM of 130, 217, 183, 442 is 87761310.

2. How to calculate the LCM of 130, 217, 183, 442?

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, 217, 183, 442.

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}.