LCM of 330, 517, 517, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 517, 517, 561 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 330, 517, 517, 561. So, keep reading to learn more.
Given numbers are 330,517,517,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,517,517,561 is 263670.
Find LCM of 330,517,517,561 with Prime Factorization
| 3 | 330, 517, 517, 561 |
| 11 | 110, 517, 517, 187 |
| 47 | 10, 47, 47, 17 |
| 10, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 47 x 10 x 1 x 1 x 17 = 263670
Therefore, the lowest common multiple of 330,517,517,561 is 263670.
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.
330 x 517 x 517 x 561 = 49483212570
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
517 : 1, 11, 47, 517
517 : 1, 11, 47, 517
561 : 1, 3, 11, 17, 33, 51, 187, 561
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,517,517,561, is 11.
Now, the common factors can be found like this.
330:2x 3x 5x 11
517:11x 47
517:11x 47
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 47 = 17061
Therefore, the value for common factors is 17061.
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 = 49483212570/(11x17061)
LCM = 49483212570/187671
LCM = 263670
Thus, we can understand that the LCM of 330,517,517,561 is 263670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 330, 517, 517, 561
1. What is the LCM of 330, 517, 517, 561?
Answer: LCM of 330, 517, 517, 561 is 263670.
2. How to calculate the LCM of 330, 517, 517, 561?
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 330, 517, 517, 561.
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}.