LCM of 415, 986, 164, 646, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 986, 164, 646, 634 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 415, 986, 164, 646, 634. So, keep reading to learn more.
Given numbers are 415,986,164,646,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,986,164,646,634 is 202093212340.
Find LCM of 415,986,164,646,634 with Prime Factorization
| 2 | 415, 986, 164, 646, 634 |
| 17 | 415, 493, 82, 323, 317 |
| 415, 29, 82, 19, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 415 x 29 x 82 x 19 x 317 = 202093212340
Therefore, the lowest common multiple of 415,986,164,646,634 is 202093212340.
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.
415 x 986 x 164 x 646 x 634 = 27484676878240
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.
415 : 1, 5, 83, 415
986 : 1, 2, 17, 29, 34, 58, 493, 986
164 : 1, 2, 4, 41, 82, 164
646 : 1, 2, 17, 19, 34, 38, 323, 646
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,986,164,646,634, is 1.
Now, the common factors can be found like this.
415:5x 83
986:2x 17x 29
164:2x 2x 41
646:2x 17x 19
634:2x 317
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 17 = 136
Therefore, the value for common factors is 136.
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 = 27484676878240/(1x136)
LCM = 27484676878240/136
LCM = 202093212340
Thus, we can understand that the LCM of 415,986,164,646,634 is 202093212340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 986, 164, 646, 634
1. What is the LCM of 415, 986, 164, 646, 634?
Answer: LCM of 415, 986, 164, 646, 634 is 202093212340.
2. How to calculate the LCM of 415, 986, 164, 646, 634?
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 415, 986, 164, 646, 634.
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}.