LCM of 583, 481, 863, 972, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 481, 863, 972, 366 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 583, 481, 863, 972, 366. So, keep reading to learn more.
Given numbers are 583,481,863,972,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,481,863,972,366 is 14348963365308.
Find LCM of 583,481,863,972,366 with Prime Factorization
| 2 | 583, 481, 863, 972, 366 |
| 3 | 583, 481, 863, 486, 183 |
| 583, 481, 863, 162, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 583 x 481 x 863 x 162 x 61 = 14348963365308
Therefore, the lowest common multiple of 583,481,863,972,366 is 14348963365308.
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.
583 x 481 x 863 x 972 x 366 = 86093780191848
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.
583 : 1, 11, 53, 583
481 : 1, 13, 37, 481
863 : 1, 863
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,481,863,972,366, is 1.
Now, the common factors can be found like this.
583:11x 53
481:13x 37
863:863
972:2x 2x 3x 3x 3x 3x 3
366:2x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 86093780191848/(1x6)
LCM = 86093780191848/6
LCM = 14348963365308
Thus, we can understand that the LCM of 583,481,863,972,366 is 14348963365308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 583, 481, 863, 972, 366
1. What is the LCM of 583, 481, 863, 972, 366?
Answer: LCM of 583, 481, 863, 972, 366 is 14348963365308.
2. How to calculate the LCM of 583, 481, 863, 972, 366?
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 583, 481, 863, 972, 366.
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}.