LCM of 813, 453, 858, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 453, 858, 617 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 813, 453, 858, 617. So, keep reading to learn more.
Given numbers are 813,453,858,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,453,858,617 is 21663004506.
Find LCM of 813,453,858,617 with Prime Factorization
| 3 | 813, 453, 858, 617 |
| 271, 151, 286, 617 |
Multiply the prime numbers at the bottom and the left side.
3 x 271 x 151 x 286 x 617 = 21663004506
Therefore, the lowest common multiple of 813,453,858,617 is 21663004506.
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.
813 x 453 x 858 x 617 = 194967040554
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.
813 : 1, 3, 271, 813
453 : 1, 3, 151, 453
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,453,858,617, is 1.
Now, the common factors can be found like this.
813:3x 271
453:3x 151
858:2x 3x 11x 13
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 194967040554/(1x9)
LCM = 194967040554/9
LCM = 21663004506
Thus, we can understand that the LCM of 813,453,858,617 is 21663004506.
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FAQs on LCM of 813, 453, 858, 617
1. What is the LCM of 813, 453, 858, 617?
Answer: LCM of 813, 453, 858, 617 is 21663004506.
2. How to calculate the LCM of 813, 453, 858, 617?
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 813, 453, 858, 617.
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}.