LCM of 986, 104, 858, 243, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 104, 858, 243, 640 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 986, 104, 858, 243, 640. So, keep reading to learn more.
Given numbers are 986,104,858,243,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,104,858,243,640 is 10964004480.
Find LCM of 986,104,858,243,640 with Prime Factorization
| 2 | 986, 104, 858, 243, 640 |
| 2 | 493, 52, 429, 243, 320 |
| 2 | 493, 26, 429, 243, 160 |
| 3 | 493, 13, 429, 243, 80 |
| 13 | 493, 13, 143, 81, 80 |
| 493, 1, 11, 81, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 493 x 1 x 11 x 81 x 80 = 10964004480
Therefore, the lowest common multiple of 986,104,858,243,640 is 10964004480.
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.
986 x 104 x 858 x 243 x 640 = 13683077591040
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
104 : 1, 2, 4, 8, 13, 26, 52, 104
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
243 : 1, 3, 9, 27, 81, 243
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,104,858,243,640, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
104:2x 2x 2x 13
858:2x 3x 11x 13
243:3x 3x 3x 3x 3
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 13683077591040/(1x1248)
LCM = 13683077591040/1248
LCM = 10964004480
Thus, we can understand that the LCM of 986,104,858,243,640 is 10964004480.
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FAQs on LCM of 986, 104, 858, 243, 640
1. What is the LCM of 986, 104, 858, 243, 640?
Answer: LCM of 986, 104, 858, 243, 640 is 10964004480.
2. How to calculate the LCM of 986, 104, 858, 243, 640?
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 986, 104, 858, 243, 640.
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}.