LCM of 486, 565, 113, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 565, 113, 606 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, 565, 113, 606. So, keep reading to learn more.
Given numbers are 486,565,113,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,565,113,606 is 27733590.
Find LCM of 486,565,113,606 with Prime Factorization
| 2 | 486, 565, 113, 606 |
| 3 | 243, 565, 113, 303 |
| 113 | 81, 565, 113, 101 |
| 81, 5, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 81 x 5 x 1 x 101 = 27733590
Therefore, the lowest common multiple of 486,565,113,606 is 27733590.
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 565 x 113 x 606 = 18803374020
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
565 : 1, 5, 113, 565
113 : 1, 113
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,565,113,606, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
565:5x 113
113:113
606:2x 3x 101
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 113 = 678
Therefore, the value for common factors is 678.
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 = 18803374020/(1x678)
LCM = 18803374020/678
LCM = 27733590
Thus, we can understand that the LCM of 486,565,113,606 is 27733590.
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FAQs on LCM of 486, 565, 113, 606
1. What is the LCM of 486, 565, 113, 606?
Answer: LCM of 486, 565, 113, 606 is 27733590.
2. How to calculate the LCM of 486, 565, 113, 606?
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, 565, 113, 606.
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}.