LCM of 897, 117, 341, 220, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 117, 341, 220, 517 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, 117, 341, 220, 517. So, keep reading to learn more.
Given numbers are 897,117,341,220,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,117,341,220,517 is 862573140.
Find LCM of 897,117,341,220,517 with Prime Factorization
| 3 | 897, 117, 341, 220, 517 |
| 11 | 299, 39, 341, 220, 517 |
| 13 | 299, 39, 31, 20, 47 |
| 23, 3, 31, 20, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 23 x 3 x 31 x 20 x 47 = 862573140
Therefore, the lowest common multiple of 897,117,341,220,517 is 862573140.
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 117 x 341 x 220 x 517 = 4070482647660
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
117 : 1, 3, 9, 13, 39, 117
341 : 1, 11, 31, 341
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,117,341,220,517, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
117:3x 3x 13
341:11x 31
220:2x 2x 5x 11
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 13 = 4719
Therefore, the value for common factors is 4719.
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 = 4070482647660/(1x4719)
LCM = 4070482647660/4719
LCM = 862573140
Thus, we can understand that the LCM of 897,117,341,220,517 is 862573140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 897, 117, 341, 220, 517
1. What is the LCM of 897, 117, 341, 220, 517?
Answer: LCM of 897, 117, 341, 220, 517 is 862573140.
2. How to calculate the LCM of 897, 117, 341, 220, 517?
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, 117, 341, 220, 517.
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}.