LCM of 582, 240, 480, 488, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 240, 480, 488, 642 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 582, 240, 480, 488, 642. So, keep reading to learn more.
Given numbers are 582,240,480,488,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,240,480,488,642 is 303897120.
Find LCM of 582,240,480,488,642 with Prime Factorization
| 2 | 582, 240, 480, 488, 642 |
| 2 | 291, 120, 240, 244, 321 |
| 2 | 291, 60, 120, 122, 321 |
| 2 | 291, 30, 60, 61, 321 |
| 3 | 291, 15, 30, 61, 321 |
| 5 | 97, 5, 10, 61, 107 |
| 97, 1, 2, 61, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 97 x 1 x 2 x 61 x 107 = 303897120
Therefore, the lowest common multiple of 582,240,480,488,642 is 303897120.
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.
582 x 240 x 480 x 488 x 642 = 21005368934400
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
488 : 1, 2, 4, 8, 61, 122, 244, 488
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,240,480,488,642, is 2.
Now, the common factors can be found like this.
582:2x 3x 97
240:2x 2x 2x 2x 3x 5
480:2x 2x 2x 2x 2x 3x 5
488:2x 2x 2x 61
642:2x 3x 107
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 2x 2x 2x 3x 3x 3x 5 = 34560
Therefore, the value for common factors is 34560.
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 = 21005368934400/(2x34560)
LCM = 21005368934400/69120
LCM = 303897120
Thus, we can understand that the LCM of 582,240,480,488,642 is 303897120.
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FAQs on LCM of 582, 240, 480, 488, 642
1. What is the LCM of 582, 240, 480, 488, 642?
Answer: LCM of 582, 240, 480, 488, 642 is 303897120.
2. How to calculate the LCM of 582, 240, 480, 488, 642?
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 582, 240, 480, 488, 642.
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}.