LCM of 506, 517, 828, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 517, 828, 564 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 506, 517, 828, 564. So, keep reading to learn more.
Given numbers are 506,517,828,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,517,828,564 is 428076.
Find LCM of 506,517,828,564 with Prime Factorization
| 2 | 506, 517, 828, 564 |
| 2 | 253, 517, 414, 282 |
| 3 | 253, 517, 207, 141 |
| 11 | 253, 517, 69, 47 |
| 23 | 23, 47, 69, 47 |
| 47 | 1, 47, 3, 47 |
| 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 47 x 1 x 1 x 3 x 1 = 428076
Therefore, the lowest common multiple of 506,517,828,564 is 428076.
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.
506 x 517 x 828 x 564 = 122166041184
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
517 : 1, 11, 47, 517
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,517,828,564, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
517:11x 47
828:2x 2x 3x 3x 23
564:2x 2x 3x 47
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 11x 23x 47 = 285384
Therefore, the value for common factors is 285384.
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 = 122166041184/(1x285384)
LCM = 122166041184/285384
LCM = 428076
Thus, we can understand that the LCM of 506,517,828,564 is 428076.
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FAQs on LCM of 506, 517, 828, 564
1. What is the LCM of 506, 517, 828, 564?
Answer: LCM of 506, 517, 828, 564 is 428076.
2. How to calculate the LCM of 506, 517, 828, 564?
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 506, 517, 828, 564.
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}.