LCM of 404, 363, 572, 820, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 363, 572, 820, 505 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 404, 363, 572, 820, 505. So, keep reading to learn more.
Given numbers are 404,363,572,820,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,363,572,820,505 is 390827580.
Find LCM of 404,363,572,820,505 with Prime Factorization
| 2 | 404, 363, 572, 820, 505 |
| 2 | 202, 363, 286, 410, 505 |
| 5 | 101, 363, 143, 205, 505 |
| 11 | 101, 363, 143, 41, 101 |
| 101 | 101, 33, 13, 41, 101 |
| 1, 33, 13, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 101 x 1 x 33 x 13 x 41 x 1 = 390827580
Therefore, the lowest common multiple of 404,363,572,820,505 is 390827580.
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.
404 x 363 x 572 x 820 x 505 = 34736755310400
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.
404 : 1, 2, 4, 101, 202, 404
363 : 1, 3, 11, 33, 121, 363
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,363,572,820,505, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
363:3x 11x 11
572:2x 2x 11x 13
820:2x 2x 5x 41
505:5x 101
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 5x 11x 101 = 88880
Therefore, the value for common factors is 88880.
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 = 34736755310400/(1x88880)
LCM = 34736755310400/88880
LCM = 390827580
Thus, we can understand that the LCM of 404,363,572,820,505 is 390827580.
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FAQs on LCM of 404, 363, 572, 820, 505
1. What is the LCM of 404, 363, 572, 820, 505?
Answer: LCM of 404, 363, 572, 820, 505 is 390827580.
2. How to calculate the LCM of 404, 363, 572, 820, 505?
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 404, 363, 572, 820, 505.
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}.