Given numbers are 827,221,208,104

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

The LCM of 827,221,208,104 is 2924272.

Find LCM of 827,221,208,104 with Prime Factorization

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

2 x 2 x 2 x 13 x 827 x 17 x 1 x 2 = 2924272

Therefore, the lowest common multiple of 827,221,208,104 is 2924272.

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.

827 x 221 x 208 x 104 = 3953615744

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.

827 : 1, 827

221 : 1, 13, 17, 221

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,221,208,104, is 1.

Now, the common factors can be found like this.

827:827

221:13x 17

208:2x 2x 2x 2x 13

104:2x 2x 2x 13

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 3953615744/(1x1352)

LCM = 3953615744/1352

LCM = 2924272

Thus, we can understand that the LCM of 827,221,208,104 is 2924272.

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

• LCM of 475, 242, 142, 351
• LCM of 181, 386, 980, 188
• LCM of 146, 551, 270, 963
• LCM of 288, 426, 105, 713
• LCM of 712, 370, 164, 450

1. What is the LCM of 827, 221, 208, 104?

Answer: LCM of 827, 221, 208, 104 is 2924272.

2. How to calculate the LCM of 827, 221, 208, 104?

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 827, 221, 208, 104.

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}.