LCM of 327, 975, 992, 408, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 975, 992, 408, 221 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 327, 975, 992, 408, 221. So, keep reading to learn more.
Given numbers are 327,975,992,408,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,975,992,408,221 is 1792221600.
Find LCM of 327,975,992,408,221 with Prime Factorization
| 2 | 327, 975, 992, 408, 221 |
| 2 | 327, 975, 496, 204, 221 |
| 2 | 327, 975, 248, 102, 221 |
| 3 | 327, 975, 124, 51, 221 |
| 13 | 109, 325, 124, 17, 221 |
| 17 | 109, 25, 124, 17, 17 |
| 109, 25, 124, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 17 x 109 x 25 x 124 x 1 x 1 = 1792221600
Therefore, the lowest common multiple of 327,975,992,408,221 is 1792221600.
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.
327 x 975 x 992 x 408 x 221 = 28517830099200
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.
327 : 1, 3, 109, 327
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,975,992,408,221, is 1.
Now, the common factors can be found like this.
327:3x 109
975:3x 5x 5x 13
992:2x 2x 2x 2x 2x 31
408:2x 2x 2x 3x 17
221:13x 17
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 3x 3x 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 28517830099200/(1x15912)
LCM = 28517830099200/15912
LCM = 1792221600
Thus, we can understand that the LCM of 327,975,992,408,221 is 1792221600.
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FAQs on LCM of 327, 975, 992, 408, 221
1. What is the LCM of 327, 975, 992, 408, 221?
Answer: LCM of 327, 975, 992, 408, 221 is 1792221600.
2. How to calculate the LCM of 327, 975, 992, 408, 221?
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 327, 975, 992, 408, 221.
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}.