LCM of 872, 412, 366, 964, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 412, 366, 964, 208 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 872, 412, 366, 964, 208. So, keep reading to learn more.
Given numbers are 872,412,366,964,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,412,366,964,208 is 102990031248.
Find LCM of 872,412,366,964,208 with Prime Factorization
| 2 | 872, 412, 366, 964, 208 |
| 2 | 436, 206, 183, 482, 104 |
| 2 | 218, 103, 183, 241, 52 |
| 109, 103, 183, 241, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 109 x 103 x 183 x 241 x 26 = 102990031248
Therefore, the lowest common multiple of 872,412,366,964,208 is 102990031248.
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.
872 x 412 x 366 x 964 x 208 = 26365447999488
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
412 : 1, 2, 4, 103, 206, 412
366 : 1, 2, 3, 6, 61, 122, 183, 366
964 : 1, 2, 4, 241, 482, 964
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,412,366,964,208, is 2.
Now, the common factors can be found like this.
872:2x 2x 2x 109
412:2x 2x 103
366:2x 3x 61
964:2x 2x 241
208:2x 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 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 26365447999488/(2x128)
LCM = 26365447999488/256
LCM = 102990031248
Thus, we can understand that the LCM of 872,412,366,964,208 is 102990031248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 872, 412, 366, 964, 208
1. What is the LCM of 872, 412, 366, 964, 208?
Answer: LCM of 872, 412, 366, 964, 208 is 102990031248.
2. How to calculate the LCM of 872, 412, 366, 964, 208?
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 872, 412, 366, 964, 208.
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}.