LCM of 677, 323, 570, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 323, 570, 171 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 677, 323, 570, 171. So, keep reading to learn more.
Given numbers are 677,323,570,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,323,570,171 is 19680390.
Find LCM of 677,323,570,171 with Prime Factorization
| 3 | 677, 323, 570, 171 |
| 19 | 677, 323, 190, 57 |
| 677, 17, 10, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 677 x 17 x 10 x 3 = 19680390
Therefore, the lowest common multiple of 677,323,570,171 is 19680390.
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.
677 x 323 x 570 x 171 = 21313862370
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.
677 : 1, 677
323 : 1, 17, 19, 323
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,323,570,171, is 1.
Now, the common factors can be found like this.
677:677
323:17x 19
570:2x 3x 5x 19
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 19 = 1083
Therefore, the value for common factors is 1083.
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 = 21313862370/(1x1083)
LCM = 21313862370/1083
LCM = 19680390
Thus, we can understand that the LCM of 677,323,570,171 is 19680390.
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FAQs on LCM of 677, 323, 570, 171
1. What is the LCM of 677, 323, 570, 171?
Answer: LCM of 677, 323, 570, 171 is 19680390.
2. How to calculate the LCM of 677, 323, 570, 171?
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 677, 323, 570, 171.
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}.