LCM of 608, 209, 135, 517, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 608, 209, 135, 517, 684 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 608, 209, 135, 517, 684. So, keep reading to learn more.
Given numbers are 608,209,135,517,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,209,135,517,684 is 42435360.
Find LCM of 608,209,135,517,684 with Prime Factorization
| 2 | 608, 209, 135, 517, 684 |
| 2 | 304, 209, 135, 517, 342 |
| 3 | 152, 209, 135, 517, 171 |
| 3 | 152, 209, 45, 517, 57 |
| 11 | 152, 209, 15, 517, 19 |
| 19 | 152, 19, 15, 47, 19 |
| 8, 1, 15, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 19 x 8 x 1 x 15 x 47 x 1 = 42435360
Therefore, the lowest common multiple of 608,209,135,517,684 is 42435360.
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.
608 x 209 x 135 x 517 x 684 = 6066389324160
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
209 : 1, 11, 19, 209
135 : 1, 3, 5, 9, 15, 27, 45, 135
517 : 1, 11, 47, 517
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,209,135,517,684, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
209:11x 19
135:3x 3x 3x 5
517:11x 47
684:2x 2x 3x 3x 19
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 11x 19x 19 = 142956
Therefore, the value for common factors is 142956.
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 = 6066389324160/(1x142956)
LCM = 6066389324160/142956
LCM = 42435360
Thus, we can understand that the LCM of 608,209,135,517,684 is 42435360.
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FAQs on LCM of 608, 209, 135, 517, 684
1. What is the LCM of 608, 209, 135, 517, 684?
Answer: LCM of 608, 209, 135, 517, 684 is 42435360.
2. How to calculate the LCM of 608, 209, 135, 517, 684?
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 608, 209, 135, 517, 684.
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}.