LCM of 162, 417, 398, 675, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 417, 398, 675, 934 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 162, 417, 398, 675, 934. So, keep reading to learn more.
Given numbers are 162,417,398,675,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,417,398,675,934 is 52316632350.
Find LCM of 162,417,398,675,934 with Prime Factorization
| 2 | 162, 417, 398, 675, 934 |
| 3 | 81, 417, 199, 675, 467 |
| 3 | 27, 139, 199, 225, 467 |
| 3 | 9, 139, 199, 75, 467 |
| 3, 139, 199, 25, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 139 x 199 x 25 x 467 = 52316632350
Therefore, the lowest common multiple of 162,417,398,675,934 is 52316632350.
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.
162 x 417 x 398 x 675 x 934 = 16950588881400
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
417 : 1, 3, 139, 417
398 : 1, 2, 199, 398
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,417,398,675,934, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
417:3x 139
398:2x 199
675:3x 3x 3x 5x 5
934:2x 467
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 16950588881400/(1x324)
LCM = 16950588881400/324
LCM = 52316632350
Thus, we can understand that the LCM of 162,417,398,675,934 is 52316632350.
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FAQs on LCM of 162, 417, 398, 675, 934
1. What is the LCM of 162, 417, 398, 675, 934?
Answer: LCM of 162, 417, 398, 675, 934 is 52316632350.
2. How to calculate the LCM of 162, 417, 398, 675, 934?
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 162, 417, 398, 675, 934.
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}.