LCM of 582, 795, 730, 285, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 795, 730, 285, 228 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, 795, 730, 285, 228. So, keep reading to learn more.
Given numbers are 582,795,730,285,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,795,730,285,228 is 427834020.
Find LCM of 582,795,730,285,228 with Prime Factorization
| 2 | 582, 795, 730, 285, 228 |
| 3 | 291, 795, 365, 285, 114 |
| 5 | 97, 265, 365, 95, 38 |
| 19 | 97, 53, 73, 19, 38 |
| 97, 53, 73, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 97 x 53 x 73 x 1 x 2 = 427834020
Therefore, the lowest common multiple of 582,795,730,285,228 is 427834020.
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 795 x 730 x 285 x 228 = 21947885226000
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
795 : 1, 3, 5, 15, 53, 159, 265, 795
730 : 1, 2, 5, 10, 73, 146, 365, 730
285 : 1, 3, 5, 15, 19, 57, 95, 285
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,795,730,285,228, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
795:3x 5x 53
730:2x 5x 73
285:3x 5x 19
228:2x 2x 3x 19
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 19 = 51300
Therefore, the value for common factors is 51300.
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 = 21947885226000/(1x51300)
LCM = 21947885226000/51300
LCM = 427834020
Thus, we can understand that the LCM of 582,795,730,285,228 is 427834020.
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FAQs on LCM of 582, 795, 730, 285, 228
1. What is the LCM of 582, 795, 730, 285, 228?
Answer: LCM of 582, 795, 730, 285, 228 is 427834020.
2. How to calculate the LCM of 582, 795, 730, 285, 228?
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, 795, 730, 285, 228.
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}.