LCM of 897, 644, 390, 568, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 644, 390, 568, 262 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 897, 644, 390, 568, 262. So, keep reading to learn more.
Given numbers are 897,644,390,568,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,644,390,568,262 is 2336039160.
Find LCM of 897,644,390,568,262 with Prime Factorization
| 2 | 897, 644, 390, 568, 262 |
| 2 | 897, 322, 195, 284, 131 |
| 3 | 897, 161, 195, 142, 131 |
| 13 | 299, 161, 65, 142, 131 |
| 23 | 23, 161, 5, 142, 131 |
| 1, 7, 5, 142, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 1 x 7 x 5 x 142 x 131 = 2336039160
Therefore, the lowest common multiple of 897,644,390,568,262 is 2336039160.
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.
897 x 644 x 390 x 568 x 262 = 33526834024320
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
568 : 1, 2, 4, 8, 71, 142, 284, 568
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,644,390,568,262, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
644:2x 2x 7x 23
390:2x 3x 5x 13
568:2x 2x 2x 71
262:2x 131
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 2x 2x 3x 13x 23 = 14352
Therefore, the value for common factors is 14352.
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 = 33526834024320/(1x14352)
LCM = 33526834024320/14352
LCM = 2336039160
Thus, we can understand that the LCM of 897,644,390,568,262 is 2336039160.
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FAQs on LCM of 897, 644, 390, 568, 262
1. What is the LCM of 897, 644, 390, 568, 262?
Answer: LCM of 897, 644, 390, 568, 262 is 2336039160.
2. How to calculate the LCM of 897, 644, 390, 568, 262?
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 897, 644, 390, 568, 262.
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}.