LCM of 857, 799, 663, 819, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 799, 663, 819, 531 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 857, 799, 663, 819, 531. So, keep reading to learn more.
Given numbers are 857,799,663,819,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,799,663,819,531 is 33087466503.
Find LCM of 857,799,663,819,531 with Prime Factorization
| 3 | 857, 799, 663, 819, 531 |
| 3 | 857, 799, 221, 273, 177 |
| 13 | 857, 799, 221, 91, 59 |
| 17 | 857, 799, 17, 7, 59 |
| 857, 47, 1, 7, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 17 x 857 x 47 x 1 x 7 x 59 = 33087466503
Therefore, the lowest common multiple of 857,799,663,819,531 is 33087466503.
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.
857 x 799 x 663 x 819 x 531 = 197432912623401
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.
857 : 1, 857
799 : 1, 17, 47, 799
663 : 1, 3, 13, 17, 39, 51, 221, 663
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,799,663,819,531, is 1.
Now, the common factors can be found like this.
857:857
799:17x 47
663:3x 13x 17
819:3x 3x 7x 13
531:3x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 13x 17 = 5967
Therefore, the value for common factors is 5967.
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 = 197432912623401/(1x5967)
LCM = 197432912623401/5967
LCM = 33087466503
Thus, we can understand that the LCM of 857,799,663,819,531 is 33087466503.
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FAQs on LCM of 857, 799, 663, 819, 531
1. What is the LCM of 857, 799, 663, 819, 531?
Answer: LCM of 857, 799, 663, 819, 531 is 33087466503.
2. How to calculate the LCM of 857, 799, 663, 819, 531?
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 857, 799, 663, 819, 531.
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}.