LCM of 785, 170, 568, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 170, 568, 289 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 785, 170, 568, 289. So, keep reading to learn more.
Given numbers are 785,170,568,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,170,568,289 is 128859320.
Find LCM of 785,170,568,289 with Prime Factorization
| 2 | 785, 170, 568, 289 |
| 5 | 785, 85, 284, 289 |
| 17 | 157, 17, 284, 289 |
| 157, 1, 284, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 157 x 1 x 284 x 17 = 128859320
Therefore, the lowest common multiple of 785,170,568,289 is 128859320.
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.
785 x 170 x 568 x 289 = 21906084400
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.
785 : 1, 5, 157, 785
170 : 1, 2, 5, 10, 17, 34, 85, 170
568 : 1, 2, 4, 8, 71, 142, 284, 568
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,170,568,289, is 1.
Now, the common factors can be found like this.
785:5x 157
170:2x 5x 17
568:2x 2x 2x 71
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 21906084400/(1x170)
LCM = 21906084400/170
LCM = 128859320
Thus, we can understand that the LCM of 785,170,568,289 is 128859320.
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FAQs on LCM of 785, 170, 568, 289
1. What is the LCM of 785, 170, 568, 289?
Answer: LCM of 785, 170, 568, 289 is 128859320.
2. How to calculate the LCM of 785, 170, 568, 289?
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 785, 170, 568, 289.
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}.