LCM of 562, 867, 344, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 867, 344, 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 562, 867, 344, 289. So, keep reading to learn more.
Given numbers are 562,867,344,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,867,344,289 is 83807688.
Find LCM of 562,867,344,289 with Prime Factorization
| 2 | 562, 867, 344, 289 |
| 17 | 281, 867, 172, 289 |
| 17 | 281, 51, 172, 17 |
| 281, 3, 172, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 281 x 3 x 172 x 1 = 83807688
Therefore, the lowest common multiple of 562,867,344,289 is 83807688.
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.
562 x 867 x 344 x 289 = 48440843664
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.
562 : 1, 2, 281, 562
867 : 1, 3, 17, 51, 289, 867
344 : 1, 2, 4, 8, 43, 86, 172, 344
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,867,344,289, is 1.
Now, the common factors can be found like this.
562:2x 281
867:3x 17x 17
344:2x 2x 2x 43
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 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 48440843664/(1x578)
LCM = 48440843664/578
LCM = 83807688
Thus, we can understand that the LCM of 562,867,344,289 is 83807688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 562, 867, 344, 289
1. What is the LCM of 562, 867, 344, 289?
Answer: LCM of 562, 867, 344, 289 is 83807688.
2. How to calculate the LCM of 562, 867, 344, 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 562, 867, 344, 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}.