LCM of 684, 918, 304, 663, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 918, 304, 663, 390 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 684, 918, 304, 663, 390. So, keep reading to learn more.
Given numbers are 684,918,304,663,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,918,304,663,390 is 9069840.
Find LCM of 684,918,304,663,390 with Prime Factorization
| 2 | 684, 918, 304, 663, 390 |
| 2 | 342, 459, 152, 663, 195 |
| 3 | 171, 459, 76, 663, 195 |
| 3 | 57, 153, 76, 221, 65 |
| 13 | 19, 51, 76, 221, 65 |
| 17 | 19, 51, 76, 17, 5 |
| 19 | 19, 3, 76, 1, 5 |
| 1, 3, 4, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 19 x 1 x 3 x 4 x 1 x 5 = 9069840
Therefore, the lowest common multiple of 684,918,304,663,390 is 9069840.
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.
684 x 918 x 304 x 663 x 390 = 49357198575360
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
663 : 1, 3, 13, 17, 39, 51, 221, 663
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,918,304,663,390, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
918:2x 3x 3x 3x 17
304:2x 2x 2x 2x 19
663:3x 13x 17
390:2x 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 2x 2x 3x 3x 3x 3x 13x 17x 19 = 5441904
Therefore, the value for common factors is 5441904.
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 = 49357198575360/(1x5441904)
LCM = 49357198575360/5441904
LCM = 9069840
Thus, we can understand that the LCM of 684,918,304,663,390 is 9069840.
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FAQs on LCM of 684, 918, 304, 663, 390
1. What is the LCM of 684, 918, 304, 663, 390?
Answer: LCM of 684, 918, 304, 663, 390 is 9069840.
2. How to calculate the LCM of 684, 918, 304, 663, 390?
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 684, 918, 304, 663, 390.
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}.