LCM of 486, 558, 620, 577, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 558, 620, 577, 415 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, 558, 620, 577, 415. So, keep reading to learn more.
Given numbers are 486,558,620,577,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,558,620,577,415 is 7215258060.
Find LCM of 486,558,620,577,415 with Prime Factorization
| 2 | 486, 558, 620, 577, 415 |
| 3 | 243, 279, 310, 577, 415 |
| 3 | 81, 93, 310, 577, 415 |
| 5 | 27, 31, 310, 577, 415 |
| 31 | 27, 31, 62, 577, 83 |
| 27, 1, 2, 577, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 31 x 27 x 1 x 2 x 577 x 83 = 7215258060
Therefore, the lowest common multiple of 486,558,620,577,415 is 7215258060.
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 558 x 620 x 577 x 415 = 40261139974800
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
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
577 : 1, 577
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,558,620,577,415, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
558:2x 3x 3x 31
620:2x 2x 5x 31
577:577
415:5x 83
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 3x 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 40261139974800/(1x5580)
LCM = 40261139974800/5580
LCM = 7215258060
Thus, we can understand that the LCM of 486,558,620,577,415 is 7215258060.
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FAQs on LCM of 486, 558, 620, 577, 415
1. What is the LCM of 486, 558, 620, 577, 415?
Answer: LCM of 486, 558, 620, 577, 415 is 7215258060.
2. How to calculate the LCM of 486, 558, 620, 577, 415?
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, 558, 620, 577, 415.
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}.