LCM of 486, 517, 612, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 517, 612, 623 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, 517, 612, 623. So, keep reading to learn more.
Given numbers are 486,517,612,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,517,612,623 is 5322231684.
Find LCM of 486,517,612,623 with Prime Factorization
| 2 | 486, 517, 612, 623 |
| 3 | 243, 517, 306, 623 |
| 3 | 81, 517, 102, 623 |
| 27, 517, 34, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 27 x 517 x 34 x 623 = 5322231684
Therefore, the lowest common multiple of 486,517,612,623 is 5322231684.
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 517 x 612 x 623 = 95800170312
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
517 : 1, 11, 47, 517
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,517,612,623, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
517:11x 47
612:2x 2x 3x 3x 17
623:7x 89
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 3 = 18
Therefore, the value for common factors is 18.
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 = 95800170312/(1x18)
LCM = 95800170312/18
LCM = 5322231684
Thus, we can understand that the LCM of 486,517,612,623 is 5322231684.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 517, 612, 623
1. What is the LCM of 486, 517, 612, 623?
Answer: LCM of 486, 517, 612, 623 is 5322231684.
2. How to calculate the LCM of 486, 517, 612, 623?
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, 517, 612, 623.
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}.