LCM of 330, 420, 471, 170, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 420, 471, 170, 645 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, 420, 471, 170, 645. So, keep reading to learn more.
Given numbers are 330,420,471,170,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,420,471,170,645 is 530223540.
Find LCM of 330,420,471,170,645 with Prime Factorization
| 2 | 330, 420, 471, 170, 645 |
| 3 | 165, 210, 471, 85, 645 |
| 5 | 55, 70, 157, 85, 215 |
| 11, 14, 157, 17, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 14 x 157 x 17 x 43 = 530223540
Therefore, the lowest common multiple of 330,420,471,170,645 is 530223540.
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 420 x 471 x 170 x 645 = 7158017790000
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
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
471 : 1, 3, 157, 471
170 : 1, 2, 5, 10, 17, 34, 85, 170
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,420,471,170,645, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
420:2x 2x 3x 5x 7
471:3x 157
170:2x 5x 17
645:3x 5x 43
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 3x 3x 3x 5x 5x 5 = 13500
Therefore, the value for common factors is 13500.
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 = 7158017790000/(1x13500)
LCM = 7158017790000/13500
LCM = 530223540
Thus, we can understand that the LCM of 330,420,471,170,645 is 530223540.
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FAQs on LCM of 330, 420, 471, 170, 645
1. What is the LCM of 330, 420, 471, 170, 645?
Answer: LCM of 330, 420, 471, 170, 645 is 530223540.
2. How to calculate the LCM of 330, 420, 471, 170, 645?
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, 420, 471, 170, 645.
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}.