LCM of 304, 977, 408, 203, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 977, 408, 203, 216 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 304, 977, 408, 203, 216. So, keep reading to learn more.
Given numbers are 304,977,408,203,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,977,408,203,216 is 27674314416.
Find LCM of 304,977,408,203,216 with Prime Factorization
| 2 | 304, 977, 408, 203, 216 |
| 2 | 152, 977, 204, 203, 108 |
| 2 | 76, 977, 102, 203, 54 |
| 3 | 38, 977, 51, 203, 27 |
| 38, 977, 17, 203, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 38 x 977 x 17 x 203 x 9 = 27674314416
Therefore, the lowest common multiple of 304,977,408,203,216 is 27674314416.
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.
304 x 977 x 408 x 203 x 216 = 5313468367872
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
977 : 1, 977
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
203 : 1, 7, 29, 203
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,977,408,203,216, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
977:977
408:2x 2x 2x 3x 17
203:7x 29
216:2x 2x 2x 3x 3x 3
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 3 = 192
Therefore, the value for common factors is 192.
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 = 5313468367872/(1x192)
LCM = 5313468367872/192
LCM = 27674314416
Thus, we can understand that the LCM of 304,977,408,203,216 is 27674314416.
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FAQs on LCM of 304, 977, 408, 203, 216
1. What is the LCM of 304, 977, 408, 203, 216?
Answer: LCM of 304, 977, 408, 203, 216 is 27674314416.
2. How to calculate the LCM of 304, 977, 408, 203, 216?
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 304, 977, 408, 203, 216.
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}.