LCM of 477, 588, 583, 760, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 588, 583, 760, 801 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 477, 588, 583, 760, 801. So, keep reading to learn more.
Given numbers are 477,588,583,760,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,588,583,760,801 is 17390446920.
Find LCM of 477,588,583,760,801 with Prime Factorization
| 2 | 477, 588, 583, 760, 801 |
| 2 | 477, 294, 583, 380, 801 |
| 3 | 477, 147, 583, 190, 801 |
| 3 | 159, 49, 583, 190, 267 |
| 53 | 53, 49, 583, 190, 89 |
| 1, 49, 11, 190, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 1 x 49 x 11 x 190 x 89 = 17390446920
Therefore, the lowest common multiple of 477,588,583,760,801 is 17390446920.
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.
477 x 588 x 583 x 760 x 801 = 99542918170080
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.
477 : 1, 3, 9, 53, 159, 477
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
583 : 1, 11, 53, 583
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,588,583,760,801, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
588:2x 2x 3x 7x 7
583:11x 53
760:2x 2x 2x 5x 19
801:3x 3x 89
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 3x 3x 53 = 5724
Therefore, the value for common factors is 5724.
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 = 99542918170080/(1x5724)
LCM = 99542918170080/5724
LCM = 17390446920
Thus, we can understand that the LCM of 477,588,583,760,801 is 17390446920.
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FAQs on LCM of 477, 588, 583, 760, 801
1. What is the LCM of 477, 588, 583, 760, 801?
Answer: LCM of 477, 588, 583, 760, 801 is 17390446920.
2. How to calculate the LCM of 477, 588, 583, 760, 801?
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 477, 588, 583, 760, 801.
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}.