LCM of 403, 798, 442, 646, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 798, 442, 646, 159 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 403, 798, 442, 646, 159. So, keep reading to learn more.
Given numbers are 403,798,442,646,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,798,442,646,159 is 289756194.
Find LCM of 403,798,442,646,159 with Prime Factorization
| 2 | 403, 798, 442, 646, 159 |
| 3 | 403, 399, 221, 323, 159 |
| 13 | 403, 133, 221, 323, 53 |
| 17 | 31, 133, 17, 323, 53 |
| 19 | 31, 133, 1, 19, 53 |
| 31, 7, 1, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 19 x 31 x 7 x 1 x 1 x 53 = 289756194
Therefore, the lowest common multiple of 403,798,442,646,159 is 289756194.
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.
403 x 798 x 442 x 646 x 159 = 14600235103272
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.
403 : 1, 13, 31, 403
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
442 : 1, 2, 13, 17, 26, 34, 221, 442
646 : 1, 2, 17, 19, 34, 38, 323, 646
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,798,442,646,159, is 1.
Now, the common factors can be found like this.
403:13x 31
798:2x 3x 7x 19
442:2x 13x 17
646:2x 17x 19
159:3x 53
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 13x 17x 19 = 50388
Therefore, the value for common factors is 50388.
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 = 14600235103272/(1x50388)
LCM = 14600235103272/50388
LCM = 289756194
Thus, we can understand that the LCM of 403,798,442,646,159 is 289756194.
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FAQs on LCM of 403, 798, 442, 646, 159
1. What is the LCM of 403, 798, 442, 646, 159?
Answer: LCM of 403, 798, 442, 646, 159 is 289756194.
2. How to calculate the LCM of 403, 798, 442, 646, 159?
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 403, 798, 442, 646, 159.
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}.