LCM of 605, 338, 845, 326, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 338, 845, 326, 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 605, 338, 845, 326, 606. So, keep reading to learn more.
Given numbers are 605,338,845,326,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,338,845,326,606 is 10099556610.
Find LCM of 605,338,845,326,606 with Prime Factorization
| 2 | 605, 338, 845, 326, 606 |
| 5 | 605, 169, 845, 163, 303 |
| 13 | 121, 169, 169, 163, 303 |
| 13 | 121, 13, 13, 163, 303 |
| 121, 1, 1, 163, 303 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 13 x 121 x 1 x 1 x 163 x 303 = 10099556610
Therefore, the lowest common multiple of 605,338,845,326,606 is 10099556610.
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.
605 x 338 x 845 x 326 x 606 = 34136501341800
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.
605 : 1, 5, 11, 55, 121, 605
338 : 1, 2, 13, 26, 169, 338
845 : 1, 5, 13, 65, 169, 845
326 : 1, 2, 163, 326
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 605,338,845,326,606, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
338:2x 13x 13
845:5x 13x 13
326:2x 163
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 2x 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 34136501341800/(1x3380)
LCM = 34136501341800/3380
LCM = 10099556610
Thus, we can understand that the LCM of 605,338,845,326,606 is 10099556610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 338, 845, 326, 606
1. What is the LCM of 605, 338, 845, 326, 606?
Answer: LCM of 605, 338, 845, 326, 606 is 10099556610.
2. How to calculate the LCM of 605, 338, 845, 326, 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 605, 338, 845, 326, 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}.