LCM of 515, 605, 240, 726, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 605, 240, 726, 225 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 515, 605, 240, 726, 225. So, keep reading to learn more.
Given numbers are 515,605,240,726,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,605,240,726,225 is 44866800.
Find LCM of 515,605,240,726,225 with Prime Factorization
| 2 | 515, 605, 240, 726, 225 |
| 3 | 515, 605, 120, 363, 225 |
| 5 | 515, 605, 40, 121, 75 |
| 11 | 103, 121, 8, 121, 15 |
| 11 | 103, 11, 8, 11, 15 |
| 103, 1, 8, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 11 x 103 x 1 x 8 x 1 x 15 = 44866800
Therefore, the lowest common multiple of 515,605,240,726,225 is 44866800.
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.
515 x 605 x 240 x 726 x 225 = 12214986300000
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.
515 : 1, 5, 103, 515
605 : 1, 5, 11, 55, 121, 605
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,605,240,726,225, is 1.
Now, the common factors can be found like this.
515:5x 103
605:5x 11x 11
240:2x 2x 2x 2x 3x 5
726:2x 3x 11x 11
225:3x 3x 5x 5
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 11x 11 = 272250
Therefore, the value for common factors is 272250.
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 = 12214986300000/(1x272250)
LCM = 12214986300000/272250
LCM = 44866800
Thus, we can understand that the LCM of 515,605,240,726,225 is 44866800.
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FAQs on LCM of 515, 605, 240, 726, 225
1. What is the LCM of 515, 605, 240, 726, 225?
Answer: LCM of 515, 605, 240, 726, 225 is 44866800.
2. How to calculate the LCM of 515, 605, 240, 726, 225?
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 515, 605, 240, 726, 225.
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}.