Given numbers are 828,158,290,650,955

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

The LCM of 828,158,290,650,955 is 117753047100.

Find LCM of 828,158,290,650,955 with Prime Factorization

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

2 x 5 x 414 x 79 x 29 x 65 x 191 = 117753047100

Therefore, the lowest common multiple of 828,158,290,650,955 is 117753047100.

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.

828 x 158 x 290 x 650 x 955 = 23550609420000

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.

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

158 : 1, 2, 79, 158

290 : 1, 2, 5, 10, 29, 58, 145, 290

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

955 : 1, 5, 191, 955

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,158,290,650,955, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

158:2x 79

290:2x 5x 29

650:2x 5x 5x 13

955:5x 191

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 23550609420000/(1x200)

LCM = 23550609420000/200

LCM = 117753047100

Thus, we can understand that the LCM of 828,158,290,650,955 is 117753047100.

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

• LCM of 348, 584, 105, 706, 656
• LCM of 391, 792, 920, 769, 105
• LCM of 960, 246, 367, 712, 284
• LCM of 601, 681, 794, 622, 287
• LCM of 795, 654, 116, 802, 107

1. What is the LCM of 828, 158, 290, 650, 955?

Answer: LCM of 828, 158, 290, 650, 955 is 117753047100.

2. How to calculate the LCM of 828, 158, 290, 650, 955?

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 828, 158, 290, 650, 955.

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}.