LCM of 533, 663, 768, 415, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 663, 768, 415, 208 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 533, 663, 768, 415, 208. So, keep reading to learn more.
Given numbers are 533,663,768,415,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,663,768,415,208 is 2887921920.
Find LCM of 533,663,768,415,208 with Prime Factorization
| 2 | 533, 663, 768, 415, 208 |
| 2 | 533, 663, 384, 415, 104 |
| 2 | 533, 663, 192, 415, 52 |
| 2 | 533, 663, 96, 415, 26 |
| 3 | 533, 663, 48, 415, 13 |
| 13 | 533, 221, 16, 415, 13 |
| 41, 17, 16, 415, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 41 x 17 x 16 x 415 x 1 = 2887921920
Therefore, the lowest common multiple of 533,663,768,415,208 is 2887921920.
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.
533 x 663 x 768 x 415 x 208 = 23426822615040
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.
533 : 1, 13, 41, 533
663 : 1, 3, 13, 17, 39, 51, 221, 663
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
415 : 1, 5, 83, 415
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,663,768,415,208, is 1.
Now, the common factors can be found like this.
533:13x 41
663:3x 13x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
415:5x 83
208:2x 2x 2x 2x 13
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 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 23426822615040/(1x8112)
LCM = 23426822615040/8112
LCM = 2887921920
Thus, we can understand that the LCM of 533,663,768,415,208 is 2887921920.
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FAQs on LCM of 533, 663, 768, 415, 208
1. What is the LCM of 533, 663, 768, 415, 208?
Answer: LCM of 533, 663, 768, 415, 208 is 2887921920.
2. How to calculate the LCM of 533, 663, 768, 415, 208?
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 533, 663, 768, 415, 208.
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}.