LCM of 684, 506, 891, 960, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 506, 891, 960, 190 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, 506, 891, 960, 190. So, keep reading to learn more.
Given numbers are 684,506,891,960,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,506,891,960,190 is 124597440.
Find LCM of 684,506,891,960,190 with Prime Factorization
| 2 | 684, 506, 891, 960, 190 |
| 2 | 342, 253, 891, 480, 95 |
| 3 | 171, 253, 891, 240, 95 |
| 3 | 57, 253, 297, 80, 95 |
| 5 | 19, 253, 99, 80, 95 |
| 11 | 19, 253, 99, 16, 19 |
| 19 | 19, 23, 9, 16, 19 |
| 1, 23, 9, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 19 x 1 x 23 x 9 x 16 x 1 = 124597440
Therefore, the lowest common multiple of 684,506,891,960,190 is 124597440.
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 506 x 891 x 960 x 190 = 56248268313600
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,506,891,960,190, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
506:2x 11x 23
891:3x 3x 3x 3x 11
960:2x 2x 2x 2x 2x 2x 3x 5
190:2x 5x 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 3x 3x 3x 5x 11x 19 = 451440
Therefore, the value for common factors is 451440.
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 = 56248268313600/(1x451440)
LCM = 56248268313600/451440
LCM = 124597440
Thus, we can understand that the LCM of 684,506,891,960,190 is 124597440.
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FAQs on LCM of 684, 506, 891, 960, 190
1. What is the LCM of 684, 506, 891, 960, 190?
Answer: LCM of 684, 506, 891, 960, 190 is 124597440.
2. How to calculate the LCM of 684, 506, 891, 960, 190?
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, 506, 891, 960, 190.
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}.