LCM of 330, 507, 285, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 507, 285, 969 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, 507, 285, 969. So, keep reading to learn more.
Given numbers are 330,507,285,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,507,285,969 is 18013710.
Find LCM of 330,507,285,969 with Prime Factorization
| 3 | 330, 507, 285, 969 |
| 5 | 110, 169, 95, 323 |
| 19 | 22, 169, 19, 323 |
| 22, 169, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 22 x 169 x 1 x 17 = 18013710
Therefore, the lowest common multiple of 330,507,285,969 is 18013710.
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 507 x 285 x 969 = 46205166150
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
507 : 1, 3, 13, 39, 169, 507
285 : 1, 3, 5, 15, 19, 57, 95, 285
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,507,285,969, is 3.
Now, the common factors can be found like this.
330:2x 3x 5x 11
507:3x 13x 13
285:3x 5x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 19 = 855
Therefore, the value for common factors is 855.
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 = 46205166150/(3x855)
LCM = 46205166150/2565
LCM = 18013710
Thus, we can understand that the LCM of 330,507,285,969 is 18013710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 330, 507, 285, 969
1. What is the LCM of 330, 507, 285, 969?
Answer: LCM of 330, 507, 285, 969 is 18013710.
2. How to calculate the LCM of 330, 507, 285, 969?
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, 507, 285, 969.
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}.