LCM of 515, 204, 724, 420, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 204, 724, 420, 380 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, 204, 724, 420, 380. So, keep reading to learn more.
Given numbers are 515,204,724,420,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,204,724,420,380 is 2529109380.
Find LCM of 515,204,724,420,380 with Prime Factorization
| 2 | 515, 204, 724, 420, 380 |
| 2 | 515, 102, 362, 210, 190 |
| 3 | 515, 51, 181, 105, 95 |
| 5 | 515, 17, 181, 35, 95 |
| 103, 17, 181, 7, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 17 x 181 x 7 x 19 = 2529109380
Therefore, the lowest common multiple of 515,204,724,420,380 is 2529109380.
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 204 x 724 x 420 x 380 = 12139725024000
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
724 : 1, 2, 4, 181, 362, 724
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,204,724,420,380, is 1.
Now, the common factors can be found like this.
515:5x 103
204:2x 2x 3x 17
724:2x 2x 181
420:2x 2x 3x 5x 7
380:2x 2x 5x 19
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 5x 5 = 4800
Therefore, the value for common factors is 4800.
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 = 12139725024000/(1x4800)
LCM = 12139725024000/4800
LCM = 2529109380
Thus, we can understand that the LCM of 515,204,724,420,380 is 2529109380.
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FAQs on LCM of 515, 204, 724, 420, 380
1. What is the LCM of 515, 204, 724, 420, 380?
Answer: LCM of 515, 204, 724, 420, 380 is 2529109380.
2. How to calculate the LCM of 515, 204, 724, 420, 380?
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, 204, 724, 420, 380.
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}.