LCM of 565, 897, 690, 782, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 897, 690, 782, 260 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 565, 897, 690, 782, 260. So, keep reading to learn more.
Given numbers are 565,897,690,782,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,897,690,782,260 is 34462740.
Find LCM of 565,897,690,782,260 with Prime Factorization
| 2 | 565, 897, 690, 782, 260 |
| 3 | 565, 897, 345, 391, 130 |
| 5 | 565, 299, 115, 391, 130 |
| 13 | 113, 299, 23, 391, 26 |
| 23 | 113, 23, 23, 391, 2 |
| 113, 1, 1, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 113 x 1 x 1 x 17 x 2 = 34462740
Therefore, the lowest common multiple of 565,897,690,782,260 is 34462740.
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.
565 x 897 x 690 x 782 x 260 = 71100078894000
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.
565 : 1, 5, 113, 565
897 : 1, 3, 13, 23, 39, 69, 299, 897
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
782 : 1, 2, 17, 23, 34, 46, 391, 782
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,897,690,782,260, is 1.
Now, the common factors can be found like this.
565:5x 113
897:3x 13x 23
690:2x 3x 5x 23
782:2x 17x 23
260:2x 2x 5x 13
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 3x 5x 5x 13x 23x 23 = 2063100
Therefore, the value for common factors is 2063100.
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 = 71100078894000/(1x2063100)
LCM = 71100078894000/2063100
LCM = 34462740
Thus, we can understand that the LCM of 565,897,690,782,260 is 34462740.
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FAQs on LCM of 565, 897, 690, 782, 260
1. What is the LCM of 565, 897, 690, 782, 260?
Answer: LCM of 565, 897, 690, 782, 260 is 34462740.
2. How to calculate the LCM of 565, 897, 690, 782, 260?
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 565, 897, 690, 782, 260.
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}.