LCM of 605, 642, 414, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 642, 414, 317 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, 642, 414, 317. So, keep reading to learn more.
Given numbers are 605,642,414,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,642,414,317 is 8495691930.
Find LCM of 605,642,414,317 with Prime Factorization
| 2 | 605, 642, 414, 317 |
| 3 | 605, 321, 207, 317 |
| 605, 107, 69, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 605 x 107 x 69 x 317 = 8495691930
Therefore, the lowest common multiple of 605,642,414,317 is 8495691930.
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 642 x 414 x 317 = 50974151580
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
642 : 1, 2, 3, 6, 107, 214, 321, 642
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,642,414,317, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
642:2x 3x 107
414:2x 3x 3x 23
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 50974151580/(1x6)
LCM = 50974151580/6
LCM = 8495691930
Thus, we can understand that the LCM of 605,642,414,317 is 8495691930.
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FAQs on LCM of 605, 642, 414, 317
1. What is the LCM of 605, 642, 414, 317?
Answer: LCM of 605, 642, 414, 317 is 8495691930.
2. How to calculate the LCM of 605, 642, 414, 317?
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, 642, 414, 317.
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}.