LCM of 484, 486, 572, 138, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 486, 572, 138, 390 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 484, 486, 572, 138, 390. So, keep reading to learn more.
Given numbers are 484,486,572,138,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,486,572,138,390 is 175829940.
Find LCM of 484,486,572,138,390 with Prime Factorization
| 2 | 484, 486, 572, 138, 390 |
| 2 | 242, 243, 286, 69, 195 |
| 3 | 121, 243, 143, 69, 195 |
| 11 | 121, 81, 143, 23, 65 |
| 13 | 11, 81, 13, 23, 65 |
| 11, 81, 1, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 11 x 81 x 1 x 23 x 5 = 175829940
Therefore, the lowest common multiple of 484,486,572,138,390 is 175829940.
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.
484 x 486 x 572 x 138 x 390 = 7241380248960
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
138 : 1, 2, 3, 6, 23, 46, 69, 138
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,486,572,138,390, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
486:2x 3x 3x 3x 3x 3
572:2x 2x 11x 13
138:2x 3x 23
390:2x 3x 5x 13
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 2x 3x 3x 11x 13 = 20592
Therefore, the value for common factors is 20592.
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 = 7241380248960/(2x20592)
LCM = 7241380248960/41184
LCM = 175829940
Thus, we can understand that the LCM of 484,486,572,138,390 is 175829940.
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FAQs on LCM of 484, 486, 572, 138, 390
1. What is the LCM of 484, 486, 572, 138, 390?
Answer: LCM of 484, 486, 572, 138, 390 is 175829940.
2. How to calculate the LCM of 484, 486, 572, 138, 390?
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 484, 486, 572, 138, 390.
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}.