LCM of 164, 244, 673, 915, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 244, 673, 915, 585 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 164, 244, 673, 915, 585. So, keep reading to learn more.
Given numbers are 164,244,673,915,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,244,673,915,585 is 3938624820.
Find LCM of 164,244,673,915,585 with Prime Factorization
| 2 | 164, 244, 673, 915, 585 |
| 2 | 82, 122, 673, 915, 585 |
| 3 | 41, 61, 673, 915, 585 |
| 5 | 41, 61, 673, 305, 195 |
| 61 | 41, 61, 673, 61, 39 |
| 41, 1, 673, 1, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 41 x 1 x 673 x 1 x 39 = 3938624820
Therefore, the lowest common multiple of 164,244,673,915,585 is 3938624820.
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.
164 x 244 x 673 x 915 x 585 = 14415366841200
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.
164 : 1, 2, 4, 41, 82, 164
244 : 1, 2, 4, 61, 122, 244
673 : 1, 673
915 : 1, 3, 5, 15, 61, 183, 305, 915
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,244,673,915,585, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
244:2x 2x 61
673:673
915:3x 5x 61
585:3x 3x 5x 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 3x 5x 61 = 3660
Therefore, the value for common factors is 3660.
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 = 14415366841200/(1x3660)
LCM = 14415366841200/3660
LCM = 3938624820
Thus, we can understand that the LCM of 164,244,673,915,585 is 3938624820.
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FAQs on LCM of 164, 244, 673, 915, 585
1. What is the LCM of 164, 244, 673, 915, 585?
Answer: LCM of 164, 244, 673, 915, 585 is 3938624820.
2. How to calculate the LCM of 164, 244, 673, 915, 585?
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 164, 244, 673, 915, 585.
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}.