Given numbers are 828,808,969,132,230

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

The LCM of 828,808,969,132,230 is 2971302840.

Find LCM of 828,808,969,132,230 with Prime Factorization

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

2 x 2 x 3 x 23 x 3 x 202 x 323 x 11 x 5 = 2971302840

Therefore, the lowest common multiple of 828,808,969,132,230 is 2971302840.

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 808 x 969 x 132 x 230 = 19681910012160

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

969 : 1, 3, 17, 19, 51, 57, 323, 969

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,808,969,132,230, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

808:2x 2x 2x 101

969:3x 17x 19

132:2x 2x 3x 11

230:2x 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.

2x 2x 2x 2x 2x 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 19681910012160/(1x6624)

LCM = 19681910012160/6624

LCM = 2971302840

Thus, we can understand that the LCM of 828,808,969,132,230 is 2971302840.

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

• LCM of 851, 800, 783, 509, 888
• LCM of 840, 372, 641, 408, 958
• LCM of 113, 823, 195, 591, 433
• LCM of 106, 769, 484, 666, 315
• LCM of 201, 812, 634, 719, 406

1. What is the LCM of 828, 808, 969, 132, 230?

Answer: LCM of 828, 808, 969, 132, 230 is 2971302840.

2. How to calculate the LCM of 828, 808, 969, 132, 230?

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, 808, 969, 132, 230.

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}.