LCM of 620, 920, 217, 135, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 920, 217, 135, 576 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 620, 920, 217, 135, 576. So, keep reading to learn more.
Given numbers are 620,920,217,135,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,920,217,135,576 is 43122240.
Find LCM of 620,920,217,135,576 with Prime Factorization
| 2 | 620, 920, 217, 135, 576 |
| 2 | 310, 460, 217, 135, 288 |
| 2 | 155, 230, 217, 135, 144 |
| 3 | 155, 115, 217, 135, 72 |
| 3 | 155, 115, 217, 45, 24 |
| 5 | 155, 115, 217, 15, 8 |
| 31 | 31, 23, 217, 3, 8 |
| 1, 23, 7, 3, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 31 x 1 x 23 x 7 x 3 x 8 = 43122240
Therefore, the lowest common multiple of 620,920,217,135,576 is 43122240.
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.
620 x 920 x 217 x 135 x 576 = 9624883968000
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
217 : 1, 7, 31, 217
135 : 1, 3, 5, 9, 15, 27, 45, 135
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,920,217,135,576, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
920:2x 2x 2x 5x 23
217:7x 31
135:3x 3x 3x 5
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 2x 3x 3x 5x 5x 31 = 223200
Therefore, the value for common factors is 223200.
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 = 9624883968000/(1x223200)
LCM = 9624883968000/223200
LCM = 43122240
Thus, we can understand that the LCM of 620,920,217,135,576 is 43122240.
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FAQs on LCM of 620, 920, 217, 135, 576
1. What is the LCM of 620, 920, 217, 135, 576?
Answer: LCM of 620, 920, 217, 135, 576 is 43122240.
2. How to calculate the LCM of 620, 920, 217, 135, 576?
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 620, 920, 217, 135, 576.
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}.