LCM of 390, 737, 566, 198, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 737, 566, 198, 305 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 390, 737, 566, 198, 305. So, keep reading to learn more.
Given numbers are 390,737,566,198,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,737,566,198,305 is 14885712270.
Find LCM of 390,737,566,198,305 with Prime Factorization
| 2 | 390, 737, 566, 198, 305 |
| 3 | 195, 737, 283, 99, 305 |
| 5 | 65, 737, 283, 33, 305 |
| 11 | 13, 737, 283, 33, 61 |
| 13, 67, 283, 3, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 67 x 283 x 3 x 61 = 14885712270
Therefore, the lowest common multiple of 390,737,566,198,305 is 14885712270.
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.
390 x 737 x 566 x 198 x 305 = 9824570098200
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
737 : 1, 11, 67, 737
566 : 1, 2, 283, 566
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,737,566,198,305, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
737:11x 67
566:2x 283
198:2x 3x 3x 11
305:5x 61
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 11 = 660
Therefore, the value for common factors is 660.
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 = 9824570098200/(1x660)
LCM = 9824570098200/660
LCM = 14885712270
Thus, we can understand that the LCM of 390,737,566,198,305 is 14885712270.
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FAQs on LCM of 390, 737, 566, 198, 305
1. What is the LCM of 390, 737, 566, 198, 305?
Answer: LCM of 390, 737, 566, 198, 305 is 14885712270.
2. How to calculate the LCM of 390, 737, 566, 198, 305?
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 390, 737, 566, 198, 305.
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}.