LCM of 570, 916, 687, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 916, 687, 569 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 570, 916, 687, 569. So, keep reading to learn more.
Given numbers are 570,916,687,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,916,687,569 is 148543140.
Find LCM of 570,916,687,569 with Prime Factorization
| 2 | 570, 916, 687, 569 |
| 3 | 285, 458, 687, 569 |
| 229 | 95, 458, 229, 569 |
| 95, 2, 1, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 229 x 95 x 2 x 1 x 569 = 148543140
Therefore, the lowest common multiple of 570,916,687,569 is 148543140.
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.
570 x 916 x 687 x 569 = 204098274360
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
916 : 1, 2, 4, 229, 458, 916
687 : 1, 3, 229, 687
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,916,687,569, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
916:2x 2x 229
687:3x 229
569:569
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 229 = 1374
Therefore, the value for common factors is 1374.
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 = 204098274360/(1x1374)
LCM = 204098274360/1374
LCM = 148543140
Thus, we can understand that the LCM of 570,916,687,569 is 148543140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 570, 916, 687, 569
1. What is the LCM of 570, 916, 687, 569?
Answer: LCM of 570, 916, 687, 569 is 148543140.
2. How to calculate the LCM of 570, 916, 687, 569?
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 570, 916, 687, 569.
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}.