LCM of 897, 986, 260, 468, 769
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 986, 260, 468, 769 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, 986, 260, 468, 769. So, keep reading to learn more.
Given numbers are 897,986,260,468,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,986,260,468,769 is 20404076940.
Find LCM of 897,986,260,468,769 with Prime Factorization
| 2 | 897, 986, 260, 468, 769 |
| 2 | 897, 493, 130, 234, 769 |
| 3 | 897, 493, 65, 117, 769 |
| 13 | 299, 493, 65, 39, 769 |
| 23, 493, 5, 3, 769 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 493 x 5 x 3 x 769 = 20404076940
Therefore, the lowest common multiple of 897,986,260,468,769 is 20404076940.
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 986 x 260 x 468 x 769 = 82758936068640
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,986,260,468,769, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
986:2x 17x 29
260:2x 2x 5x 13
468:2x 2x 3x 3x 13
769:769
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 3x 13x 13 = 4056
Therefore, the value for common factors is 4056.
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 = 82758936068640/(1x4056)
LCM = 82758936068640/4056
LCM = 20404076940
Thus, we can understand that the LCM of 897,986,260,468,769 is 20404076940.
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FAQs on LCM of 897, 986, 260, 468, 769
1. What is the LCM of 897, 986, 260, 468, 769?
Answer: LCM of 897, 986, 260, 468, 769 is 20404076940.
2. How to calculate the LCM of 897, 986, 260, 468, 769?
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, 986, 260, 468, 769.
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}.