LCM of 599, 990, 187, 765, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 990, 187, 765, 211 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 599, 990, 187, 765, 211. So, keep reading to learn more.
Given numbers are 599,990,187,765,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,990,187,765,211 is 2127126870.
Find LCM of 599,990,187,765,211 with Prime Factorization
| 3 | 599, 990, 187, 765, 211 |
| 3 | 599, 330, 187, 255, 211 |
| 5 | 599, 110, 187, 85, 211 |
| 11 | 599, 22, 187, 17, 211 |
| 17 | 599, 2, 17, 17, 211 |
| 599, 2, 1, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 17 x 599 x 2 x 1 x 1 x 211 = 2127126870
Therefore, the lowest common multiple of 599,990,187,765,211 is 2127126870.
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.
599 x 990 x 187 x 765 x 211 = 17899772611050
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.
599 : 1, 599
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
187 : 1, 11, 17, 187
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,990,187,765,211, is 1.
Now, the common factors can be found like this.
599:599
990:2x 3x 3x 5x 11
187:11x 17
765:3x 3x 5x 17
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 17 = 8415
Therefore, the value for common factors is 8415.
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 = 17899772611050/(1x8415)
LCM = 17899772611050/8415
LCM = 2127126870
Thus, we can understand that the LCM of 599,990,187,765,211 is 2127126870.
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FAQs on LCM of 599, 990, 187, 765, 211
1. What is the LCM of 599, 990, 187, 765, 211?
Answer: LCM of 599, 990, 187, 765, 211 is 2127126870.
2. How to calculate the LCM of 599, 990, 187, 765, 211?
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 599, 990, 187, 765, 211.
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}.