LCM of 170, 927, 978, 574, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 927, 978, 574, 815 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, 927, 978, 574, 815. So, keep reading to learn more.
Given numbers are 170,927,978,574,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,927,978,574,815 is 7372217790.
Find LCM of 170,927,978,574,815 with Prime Factorization
| 2 | 170, 927, 978, 574, 815 |
| 3 | 85, 927, 489, 287, 815 |
| 5 | 85, 309, 163, 287, 815 |
| 163 | 17, 309, 163, 287, 163 |
| 17, 309, 1, 287, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 17 x 309 x 1 x 287 x 1 = 7372217790
Therefore, the lowest common multiple of 170,927,978,574,815 is 7372217790.
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 927 x 978 x 574 x 815 = 72100289986200
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
927 : 1, 3, 9, 103, 309, 927
978 : 1, 2, 3, 6, 163, 326, 489, 978
574 : 1, 2, 7, 14, 41, 82, 287, 574
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,927,978,574,815, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
927:3x 3x 103
978:2x 3x 163
574:2x 7x 41
815:5x 163
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 163 = 9780
Therefore, the value for common factors is 9780.
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 = 72100289986200/(1x9780)
LCM = 72100289986200/9780
LCM = 7372217790
Thus, we can understand that the LCM of 170,927,978,574,815 is 7372217790.
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FAQs on LCM of 170, 927, 978, 574, 815
1. What is the LCM of 170, 927, 978, 574, 815?
Answer: LCM of 170, 927, 978, 574, 815 is 7372217790.
2. How to calculate the LCM of 170, 927, 978, 574, 815?
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, 927, 978, 574, 815.
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}.