LCM of 583, 465, 505, 785, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 465, 505, 785, 990 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 583, 465, 505, 785, 990. So, keep reading to learn more.
Given numbers are 583,465,505,785,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,465,505,785,990 is 25792520490.
Find LCM of 583,465,505,785,990 with Prime Factorization
| 3 | 583, 465, 505, 785, 990 |
| 5 | 583, 155, 505, 785, 330 |
| 11 | 583, 31, 101, 157, 66 |
| 53, 31, 101, 157, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 53 x 31 x 101 x 157 x 6 = 25792520490
Therefore, the lowest common multiple of 583,465,505,785,990 is 25792520490.
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.
583 x 465 x 505 x 785 x 990 = 106394147021250
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.
583 : 1, 11, 53, 583
465 : 1, 3, 5, 15, 31, 93, 155, 465
505 : 1, 5, 101, 505
785 : 1, 5, 157, 785
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,465,505,785,990, is 1.
Now, the common factors can be found like this.
583:11x 53
465:3x 5x 31
505:5x 101
785:5x 157
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 11 = 4125
Therefore, the value for common factors is 4125.
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 = 106394147021250/(1x4125)
LCM = 106394147021250/4125
LCM = 25792520490
Thus, we can understand that the LCM of 583,465,505,785,990 is 25792520490.
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FAQs on LCM of 583, 465, 505, 785, 990
1. What is the LCM of 583, 465, 505, 785, 990?
Answer: LCM of 583, 465, 505, 785, 990 is 25792520490.
2. How to calculate the LCM of 583, 465, 505, 785, 990?
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 583, 465, 505, 785, 990.
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}.