LCM of 459, 211, 765, 100, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 211, 765, 100, 550 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 459, 211, 765, 100, 550. So, keep reading to learn more.
Given numbers are 459,211,765,100,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,211,765,100,550 is 106533900.
Find LCM of 459,211,765,100,550 with Prime Factorization
| 2 | 459, 211, 765, 100, 550 |
| 3 | 459, 211, 765, 50, 275 |
| 3 | 153, 211, 255, 50, 275 |
| 5 | 51, 211, 85, 50, 275 |
| 5 | 51, 211, 17, 10, 55 |
| 17 | 51, 211, 17, 2, 11 |
| 3, 211, 1, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 17 x 3 x 211 x 1 x 2 x 11 = 106533900
Therefore, the lowest common multiple of 459,211,765,100,550 is 106533900.
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.
459 x 211 x 765 x 100 x 550 = 4074921675000
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
211 : 1, 211
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,211,765,100,550, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
211:211
765:3x 3x 5x 17
100:2x 2x 5x 5
550:2x 5x 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.
2x 3x 3x 5x 5x 5x 17 = 38250
Therefore, the value for common factors is 38250.
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 = 4074921675000/(1x38250)
LCM = 4074921675000/38250
LCM = 106533900
Thus, we can understand that the LCM of 459,211,765,100,550 is 106533900.
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FAQs on LCM of 459, 211, 765, 100, 550
1. What is the LCM of 459, 211, 765, 100, 550?
Answer: LCM of 459, 211, 765, 100, 550 is 106533900.
2. How to calculate the LCM of 459, 211, 765, 100, 550?
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 459, 211, 765, 100, 550.
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}.