LCM of 486, 559, 672, 516, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 559, 672, 516, 567 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, 559, 672, 516, 567. So, keep reading to learn more.
Given numbers are 486,559,672,516,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,559,672,516,567 is 30427488.
Find LCM of 486,559,672,516,567 with Prime Factorization
| 2 | 486, 559, 672, 516, 567 |
| 2 | 243, 559, 336, 258, 567 |
| 3 | 243, 559, 168, 129, 567 |
| 3 | 81, 559, 56, 43, 189 |
| 3 | 27, 559, 56, 43, 63 |
| 3 | 9, 559, 56, 43, 21 |
| 7 | 3, 559, 56, 43, 7 |
| 43 | 3, 559, 8, 43, 1 |
| 3, 13, 8, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 7 x 43 x 3 x 13 x 8 x 1 x 1 = 30427488
Therefore, the lowest common multiple of 486,559,672,516,567 is 30427488.
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 559 x 672 x 516 x 567 = 53413386114816
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
559 : 1, 13, 43, 559
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,559,672,516,567, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
559:13x 43
672:2x 2x 2x 2x 2x 3x 7
516:2x 2x 3x 43
567:3x 3x 3x 3x 7
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 3x 3x 3x 3x 3x 3x 7x 43 = 1755432
Therefore, the value for common factors is 1755432.
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 = 53413386114816/(1x1755432)
LCM = 53413386114816/1755432
LCM = 30427488
Thus, we can understand that the LCM of 486,559,672,516,567 is 30427488.
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FAQs on LCM of 486, 559, 672, 516, 567
1. What is the LCM of 486, 559, 672, 516, 567?
Answer: LCM of 486, 559, 672, 516, 567 is 30427488.
2. How to calculate the LCM of 486, 559, 672, 516, 567?
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, 559, 672, 516, 567.
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}.