LCM of 486, 578, 105, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 578, 105, 629 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 486, 578, 105, 629. So, keep reading to learn more.
Given numbers are 486,578,105,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,578,105,629 is 181887930.
Find LCM of 486,578,105,629 with Prime Factorization
| 2 | 486, 578, 105, 629 |
| 3 | 243, 289, 105, 629 |
| 17 | 81, 289, 35, 629 |
| 81, 17, 35, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 81 x 17 x 35 x 37 = 181887930
Therefore, the lowest common multiple of 486,578,105,629 is 181887930.
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.
486 x 578 x 105 x 629 = 18552568860
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
578 : 1, 2, 17, 34, 289, 578
105 : 1, 3, 5, 7, 15, 21, 35, 105
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,578,105,629, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
578:2x 17x 17
105:3x 5x 7
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 18552568860/(1x102)
LCM = 18552568860/102
LCM = 181887930
Thus, we can understand that the LCM of 486,578,105,629 is 181887930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 578, 105, 629
1. What is the LCM of 486, 578, 105, 629?
Answer: LCM of 486, 578, 105, 629 is 181887930.
2. How to calculate the LCM of 486, 578, 105, 629?
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 486, 578, 105, 629.
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}.