LCM of 509, 741, 720, 715, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 741, 720, 715, 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, 741, 720, 715, 110. So, keep reading to learn more.
Given numbers are 509,741,720,715,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,741,720,715,110 is 995726160.
Find LCM of 509,741,720,715,110 with Prime Factorization
| 2 | 509, 741, 720, 715, 110 |
| 3 | 509, 741, 360, 715, 55 |
| 5 | 509, 247, 120, 715, 55 |
| 11 | 509, 247, 24, 143, 11 |
| 13 | 509, 247, 24, 13, 1 |
| 509, 19, 24, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 509 x 19 x 24 x 1 x 1 = 995726160
Therefore, the lowest common multiple of 509,741,720,715,110 is 995726160.
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 741 x 720 x 715 x 110 = 21358326132000
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
715 : 1, 5, 11, 13, 55, 65, 143, 715
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 509,741,720,715,110, is 1.
Now, the common factors can be found like this.
509:509
741:3x 13x 19
720:2x 2x 2x 2x 3x 3x 5
715:5x 11x 13
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 3x 5x 5x 11x 13 = 21450
Therefore, the value for common factors is 21450.
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 = 21358326132000/(1x21450)
LCM = 21358326132000/21450
LCM = 995726160
Thus, we can understand that the LCM of 509,741,720,715,110 is 995726160.
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FAQs on LCM of 509, 741, 720, 715, 110
1. What is the LCM of 509, 741, 720, 715, 110?
Answer: LCM of 509, 741, 720, 715, 110 is 995726160.
2. How to calculate the LCM of 509, 741, 720, 715, 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, 741, 720, 715, 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}.