Given numbers are 116,414,828,569

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

The LCM of 116,414,828,569 is 13662828.

Find LCM of 116,414,828,569 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 29 x 1 x 1 x 569 = 13662828

Therefore, the lowest common multiple of 116,414,828,569 is 13662828.

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.

116 x 414 x 828 x 569 = 22625643168

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.

116 : 1, 2, 4, 29, 58, 116

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,414,828,569, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

414:2x 3x 3x 23

828:2x 2x 3x 3x 23

569:569

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 22625643168/(1x1656)

LCM = 22625643168/1656

LCM = 13662828

Thus, we can understand that the LCM of 116,414,828,569 is 13662828.

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

• LCM of 748, 499, 449, 164
• LCM of 131, 522, 715, 501
• LCM of 171, 775, 424, 340
• LCM of 903, 714, 200, 613
• LCM of 321, 803, 336, 182

1. What is the LCM of 116, 414, 828, 569?

Answer: LCM of 116, 414, 828, 569 is 13662828.

2. How to calculate the LCM of 116, 414, 828, 569?

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 116, 414, 828, 569.

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}.