LCM of 606, 505, 165, 486, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 505, 165, 486, 282 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 606, 505, 165, 486, 282. So, keep reading to learn more.
Given numbers are 606,505,165,486,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,505,165,486,282 is 126887310.
Find LCM of 606,505,165,486,282 with Prime Factorization
| 2 | 606, 505, 165, 486, 282 |
| 3 | 303, 505, 165, 243, 141 |
| 5 | 101, 505, 55, 81, 47 |
| 101 | 101, 101, 11, 81, 47 |
| 1, 1, 11, 81, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 1 x 1 x 11 x 81 x 47 = 126887310
Therefore, the lowest common multiple of 606,505,165,486,282 is 126887310.
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.
606 x 505 x 165 x 486 x 282 = 6920433887400
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
505 : 1, 5, 101, 505
165 : 1, 3, 5, 11, 15, 33, 55, 165
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,505,165,486,282, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
505:5x 101
165:3x 5x 11
486:2x 3x 3x 3x 3x 3
282:2x 3x 47
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 3x 5x 101 = 54540
Therefore, the value for common factors is 54540.
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 = 6920433887400/(1x54540)
LCM = 6920433887400/54540
LCM = 126887310
Thus, we can understand that the LCM of 606,505,165,486,282 is 126887310.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 606, 505, 165, 486, 282
1. What is the LCM of 606, 505, 165, 486, 282?
Answer: LCM of 606, 505, 165, 486, 282 is 126887310.
2. How to calculate the LCM of 606, 505, 165, 486, 282?
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 606, 505, 165, 486, 282.
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}.