LCM of 565, 986, 806, 288, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 986, 806, 288, 741 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, 986, 806, 288, 741. So, keep reading to learn more.
Given numbers are 565,986,806,288,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,986,806,288,741 is 614251890720.
Find LCM of 565,986,806,288,741 with Prime Factorization
| 2 | 565, 986, 806, 288, 741 |
| 3 | 565, 493, 403, 144, 741 |
| 13 | 565, 493, 403, 48, 247 |
| 565, 493, 31, 48, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 565 x 493 x 31 x 48 x 19 = 614251890720
Therefore, the lowest common multiple of 565,986,806,288,741 is 614251890720.
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 986 x 806 x 288 x 741 = 95823294952320
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
806 : 1, 2, 13, 26, 31, 62, 403, 806
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,986,806,288,741, is 1.
Now, the common factors can be found like this.
565:5x 113
986:2x 17x 29
806:2x 13x 31
288:2x 2x 2x 2x 2x 3x 3
741:3x 13x 19
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 13 = 156
Therefore, the value for common factors is 156.
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 = 95823294952320/(1x156)
LCM = 95823294952320/156
LCM = 614251890720
Thus, we can understand that the LCM of 565,986,806,288,741 is 614251890720.
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FAQs on LCM of 565, 986, 806, 288, 741
1. What is the LCM of 565, 986, 806, 288, 741?
Answer: LCM of 565, 986, 806, 288, 741 is 614251890720.
2. How to calculate the LCM of 565, 986, 806, 288, 741?
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, 986, 806, 288, 741.
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}.