LCM of 591, 758, 626, 990, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 758, 626, 990, 570 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 591, 758, 626, 990, 570. So, keep reading to learn more.
Given numbers are 591,758,626,990,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,758,626,990,570 is 439580652390.
Find LCM of 591,758,626,990,570 with Prime Factorization
| 2 | 591, 758, 626, 990, 570 |
| 3 | 591, 379, 313, 495, 285 |
| 5 | 197, 379, 313, 165, 95 |
| 197, 379, 313, 33, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 197 x 379 x 313 x 33 x 19 = 439580652390
Therefore, the lowest common multiple of 591,758,626,990,570 is 439580652390.
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.
591 x 758 x 626 x 990 x 570 = 158249034860400
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.
591 : 1, 3, 197, 591
758 : 1, 2, 379, 758
626 : 1, 2, 313, 626
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,758,626,990,570, is 1.
Now, the common factors can be found like this.
591:3x 197
758:2x 379
626:2x 313
990:2x 3x 3x 5x 11
570:2x 3x 5x 19
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 158249034860400/(1x360)
LCM = 158249034860400/360
LCM = 439580652390
Thus, we can understand that the LCM of 591,758,626,990,570 is 439580652390.
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FAQs on LCM of 591, 758, 626, 990, 570
1. What is the LCM of 591, 758, 626, 990, 570?
Answer: LCM of 591, 758, 626, 990, 570 is 439580652390.
2. How to calculate the LCM of 591, 758, 626, 990, 570?
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 591, 758, 626, 990, 570.
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}.