LCM of 504, 162, 406, 838, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 162, 406, 838, 515 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 504, 162, 406, 838, 515. So, keep reading to learn more.
Given numbers are 504,162,406,838,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,162,406,838,515 is 28385222040.
Find LCM of 504,162,406,838,515 with Prime Factorization
| 2 | 504, 162, 406, 838, 515 |
| 3 | 252, 81, 203, 419, 515 |
| 3 | 84, 27, 203, 419, 515 |
| 7 | 28, 9, 203, 419, 515 |
| 4, 9, 29, 419, 515 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 4 x 9 x 29 x 419 x 515 = 28385222040
Therefore, the lowest common multiple of 504,162,406,838,515 is 28385222040.
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.
504 x 162 x 406 x 838 x 515 = 14306151908160
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
406 : 1, 2, 7, 14, 29, 58, 203, 406
838 : 1, 2, 419, 838
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,162,406,838,515, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
162:2x 3x 3x 3x 3
406:2x 7x 29
838:2x 419
515:5x 103
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 14306151908160/(1x504)
LCM = 14306151908160/504
LCM = 28385222040
Thus, we can understand that the LCM of 504,162,406,838,515 is 28385222040.
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FAQs on LCM of 504, 162, 406, 838, 515
1. What is the LCM of 504, 162, 406, 838, 515?
Answer: LCM of 504, 162, 406, 838, 515 is 28385222040.
2. How to calculate the LCM of 504, 162, 406, 838, 515?
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 504, 162, 406, 838, 515.
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}.