LCM of 170, 505, 106, 315, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 505, 106, 315, 546 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 170, 505, 106, 315, 546. So, keep reading to learn more.
Given numbers are 170,505,106,315,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,505,106,315,546 is 745298190.
Find LCM of 170,505,106,315,546 with Prime Factorization
| 2 | 170, 505, 106, 315, 546 |
| 3 | 85, 505, 53, 315, 273 |
| 5 | 85, 505, 53, 105, 91 |
| 7 | 17, 101, 53, 21, 91 |
| 17, 101, 53, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 101 x 53 x 3 x 13 = 745298190
Therefore, the lowest common multiple of 170,505,106,315,546 is 745298190.
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.
170 x 505 x 106 x 315 x 546 = 1565126199000
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
505 : 1, 5, 101, 505
106 : 1, 2, 53, 106
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,505,106,315,546, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
505:5x 101
106:2x 53
315:3x 3x 5x 7
546:2x 3x 7x 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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 1565126199000/(1x2100)
LCM = 1565126199000/2100
LCM = 745298190
Thus, we can understand that the LCM of 170,505,106,315,546 is 745298190.
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FAQs on LCM of 170, 505, 106, 315, 546
1. What is the LCM of 170, 505, 106, 315, 546?
Answer: LCM of 170, 505, 106, 315, 546 is 745298190.
2. How to calculate the LCM of 170, 505, 106, 315, 546?
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 170, 505, 106, 315, 546.
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}.