LCM of 531, 658, 806, 798, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 658, 806, 798, 963 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 531, 658, 806, 798, 963. So, keep reading to learn more.
Given numbers are 531,658,806,798,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,658,806,798,963 is 286261432002.
Find LCM of 531,658,806,798,963 with Prime Factorization
| 2 | 531, 658, 806, 798, 963 |
| 3 | 531, 329, 403, 399, 963 |
| 3 | 177, 329, 403, 133, 321 |
| 7 | 59, 329, 403, 133, 107 |
| 59, 47, 403, 19, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 59 x 47 x 403 x 19 x 107 = 286261432002
Therefore, the lowest common multiple of 531,658,806,798,963 is 286261432002.
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.
531 x 658 x 806 x 798 x 963 = 216413642593512
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.
531 : 1, 3, 9, 59, 177, 531
658 : 1, 2, 7, 14, 47, 94, 329, 658
806 : 1, 2, 13, 26, 31, 62, 403, 806
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,658,806,798,963, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
658:2x 7x 47
806:2x 13x 31
798:2x 3x 7x 19
963:3x 3x 107
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 216413642593512/(1x756)
LCM = 216413642593512/756
LCM = 286261432002
Thus, we can understand that the LCM of 531,658,806,798,963 is 286261432002.
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FAQs on LCM of 531, 658, 806, 798, 963
1. What is the LCM of 531, 658, 806, 798, 963?
Answer: LCM of 531, 658, 806, 798, 963 is 286261432002.
2. How to calculate the LCM of 531, 658, 806, 798, 963?
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 531, 658, 806, 798, 963.
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}.