Given numbers are 301,633,414,115

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

The LCM of 301,633,414,115 is 131467770.

Find LCM of 301,633,414,115 with Prime Factorization

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

3 x 23 x 301 x 211 x 6 x 5 = 131467770

Therefore, the lowest common multiple of 301,633,414,115 is 131467770.

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.

301 x 633 x 414 x 115 = 9071276130

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.

301 : 1, 7, 43, 301

633 : 1, 3, 211, 633

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,633,414,115, is 1.

Now, the common factors can be found like this.

301:7x 43

633:3x 211

414:2x 3x 3x 23

115:5x 23

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

3x 23 = 69

Therefore, the value for common factors is 69.

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 = 9071276130/(1x69)

LCM = 9071276130/69

LCM = 131467770

Thus, we can understand that the LCM of 301,633,414,115 is 131467770.

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

• LCM of 898, 868, 585, 247
• LCM of 730, 359, 132, 631
• LCM of 975, 372, 258, 616
• LCM of 334, 403, 125, 391
• LCM of 651, 632, 708, 173

1. What is the LCM of 301, 633, 414, 115?

Answer: LCM of 301, 633, 414, 115 is 131467770.

2. How to calculate the LCM of 301, 633, 414, 115?

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 301, 633, 414, 115.

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}.