LCM of 720, 913, 208, 913, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 913, 208, 913, 588 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 720, 913, 208, 913, 588. So, keep reading to learn more.
Given numbers are 720,913,208,913,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,913,208,913,588 is 418738320.
Find LCM of 720,913,208,913,588 with Prime Factorization
| 2 | 720, 913, 208, 913, 588 |
| 2 | 360, 913, 104, 913, 294 |
| 2 | 180, 913, 52, 913, 147 |
| 2 | 90, 913, 26, 913, 147 |
| 3 | 45, 913, 13, 913, 147 |
| 11 | 15, 913, 13, 913, 49 |
| 83 | 15, 83, 13, 83, 49 |
| 15, 1, 13, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 83 x 15 x 1 x 13 x 1 x 49 = 418738320
Therefore, the lowest common multiple of 720,913,208,913,588 is 418738320.
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.
720 x 913 x 208 x 913 x 588 = 73403152542720
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.
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
913 : 1, 11, 83, 913
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
913 : 1, 11, 83, 913
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,913,208,913,588, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
913:11x 83
208:2x 2x 2x 2x 13
913:11x 83
588:2x 2x 3x 7x 7
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 2x 2x 2x 3x 11x 83 = 175296
Therefore, the value for common factors is 175296.
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 = 73403152542720/(1x175296)
LCM = 73403152542720/175296
LCM = 418738320
Thus, we can understand that the LCM of 720,913,208,913,588 is 418738320.
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FAQs on LCM of 720, 913, 208, 913, 588
1. What is the LCM of 720, 913, 208, 913, 588?
Answer: LCM of 720, 913, 208, 913, 588 is 418738320.
2. How to calculate the LCM of 720, 913, 208, 913, 588?
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 720, 913, 208, 913, 588.
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}.