LCM of 684, 172, 760, 324, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 172, 760, 324, 209 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 684, 172, 760, 324, 209. So, keep reading to learn more.
Given numbers are 684,172,760,324,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,172,760,324,209 is 29117880.
Find LCM of 684,172,760,324,209 with Prime Factorization
| 2 | 684, 172, 760, 324, 209 |
| 2 | 342, 86, 380, 162, 209 |
| 3 | 171, 43, 190, 81, 209 |
| 3 | 57, 43, 190, 27, 209 |
| 19 | 19, 43, 190, 9, 209 |
| 1, 43, 10, 9, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 43 x 10 x 9 x 11 = 29117880
Therefore, the lowest common multiple of 684,172,760,324,209 is 29117880.
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.
684 x 172 x 760 x 324 x 209 = 6054655495680
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
172 : 1, 2, 4, 43, 86, 172
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,172,760,324,209, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
172:2x 2x 43
760:2x 2x 2x 5x 19
324:2x 2x 3x 3x 3x 3
209:11x 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 2x 2x 2x 2x 3x 3x 19x 19 = 207936
Therefore, the value for common factors is 207936.
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 = 6054655495680/(1x207936)
LCM = 6054655495680/207936
LCM = 29117880
Thus, we can understand that the LCM of 684,172,760,324,209 is 29117880.
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FAQs on LCM of 684, 172, 760, 324, 209
1. What is the LCM of 684, 172, 760, 324, 209?
Answer: LCM of 684, 172, 760, 324, 209 is 29117880.
2. How to calculate the LCM of 684, 172, 760, 324, 209?
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 684, 172, 760, 324, 209.
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}.