LCM of 509, 486, 880, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 486, 880, 110 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 509, 486, 880, 110. So, keep reading to learn more.
Given numbers are 509,486,880,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,486,880,110 is 108844560.
Find LCM of 509,486,880,110 with Prime Factorization
| 2 | 509, 486, 880, 110 |
| 5 | 509, 243, 440, 55 |
| 11 | 509, 243, 88, 11 |
| 509, 243, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 509 x 243 x 8 x 1 = 108844560
Therefore, the lowest common multiple of 509,486,880,110 is 108844560.
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.
509 x 486 x 880 x 110 = 23945803200
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.
509 : 1, 509
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,486,880,110, is 1.
Now, the common factors can be found like this.
509:509
486:2x 3x 3x 3x 3x 3
880:2x 2x 2x 2x 5x 11
110:2x 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 2x 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 23945803200/(1x220)
LCM = 23945803200/220
LCM = 108844560
Thus, we can understand that the LCM of 509,486,880,110 is 108844560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 486, 880, 110
1. What is the LCM of 509, 486, 880, 110?
Answer: LCM of 509, 486, 880, 110 is 108844560.
2. How to calculate the LCM of 509, 486, 880, 110?
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 509, 486, 880, 110.
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}.