LCM of 143, 680, 289, 663, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 680, 289, 663, 408 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 143, 680, 289, 663, 408. So, keep reading to learn more.
Given numbers are 143,680,289,663,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,680,289,663,408 is 4959240.
Find LCM of 143,680,289,663,408 with Prime Factorization
| 2 | 143, 680, 289, 663, 408 |
| 2 | 143, 340, 289, 663, 204 |
| 2 | 143, 170, 289, 663, 102 |
| 3 | 143, 85, 289, 663, 51 |
| 13 | 143, 85, 289, 221, 17 |
| 17 | 11, 85, 289, 17, 17 |
| 11, 5, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 17 x 11 x 5 x 1 x 1 x 17 = 4959240
Therefore, the lowest common multiple of 143,680,289,663,408 is 4959240.
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.
143 x 680 x 289 x 663 x 408 = 7601800789440
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.
143 : 1, 11, 13, 143
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
289 : 1, 17, 289
663 : 1, 3, 13, 17, 39, 51, 221, 663
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,680,289,663,408, is 1.
Now, the common factors can be found like this.
143:11x 13
680:2x 2x 2x 5x 17
289:17x 17
663:3x 13x 17
408:2x 2x 2x 3x 17
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 3x 13x 17x 17x 17 = 1532856
Therefore, the value for common factors is 1532856.
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 = 7601800789440/(1x1532856)
LCM = 7601800789440/1532856
LCM = 4959240
Thus, we can understand that the LCM of 143,680,289,663,408 is 4959240.
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FAQs on LCM of 143, 680, 289, 663, 408
1. What is the LCM of 143, 680, 289, 663, 408?
Answer: LCM of 143, 680, 289, 663, 408 is 4959240.
2. How to calculate the LCM of 143, 680, 289, 663, 408?
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 143, 680, 289, 663, 408.
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}.