LCM of 605, 972, 390, 317, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 972, 390, 317, 897 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 605, 972, 390, 317, 897. So, keep reading to learn more.
Given numbers are 605,972,390,317,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,972,390,317,897 is 55738090980.
Find LCM of 605,972,390,317,897 with Prime Factorization
| 2 | 605, 972, 390, 317, 897 |
| 3 | 605, 486, 195, 317, 897 |
| 5 | 605, 162, 65, 317, 299 |
| 13 | 121, 162, 13, 317, 299 |
| 121, 162, 1, 317, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 121 x 162 x 1 x 317 x 23 = 55738090980
Therefore, the lowest common multiple of 605,972,390,317,897 is 55738090980.
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.
605 x 972 x 390 x 317 x 897 = 65213566446600
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.
605 : 1, 5, 11, 55, 121, 605
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
317 : 1, 317
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,972,390,317,897, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
972:2x 2x 3x 3x 3x 3x 3
390:2x 3x 5x 13
317:317
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 65213566446600/(1x1170)
LCM = 65213566446600/1170
LCM = 55738090980
Thus, we can understand that the LCM of 605,972,390,317,897 is 55738090980.
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FAQs on LCM of 605, 972, 390, 317, 897
1. What is the LCM of 605, 972, 390, 317, 897?
Answer: LCM of 605, 972, 390, 317, 897 is 55738090980.
2. How to calculate the LCM of 605, 972, 390, 317, 897?
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 605, 972, 390, 317, 897.
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}.