LCM of 858, 612, 311, 400, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 612, 311, 400, 481 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 858, 612, 311, 400, 481. So, keep reading to learn more.
Given numbers are 858,612,311,400,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,612,311,400,481 is 100704661200.
Find LCM of 858,612,311,400,481 with Prime Factorization
| 2 | 858, 612, 311, 400, 481 |
| 2 | 429, 306, 311, 200, 481 |
| 3 | 429, 153, 311, 100, 481 |
| 13 | 143, 51, 311, 100, 481 |
| 11, 51, 311, 100, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 11 x 51 x 311 x 100 x 37 = 100704661200
Therefore, the lowest common multiple of 858,612,311,400,481 is 100704661200.
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.
858 x 612 x 311 x 400 x 481 = 31419854294400
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
311 : 1, 311
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,612,311,400,481, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
612:2x 2x 3x 3x 17
311:311
400:2x 2x 2x 2x 5x 5
481:13x 37
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 13 = 312
Therefore, the value for common factors is 312.
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 = 31419854294400/(1x312)
LCM = 31419854294400/312
LCM = 100704661200
Thus, we can understand that the LCM of 858,612,311,400,481 is 100704661200.
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FAQs on LCM of 858, 612, 311, 400, 481
1. What is the LCM of 858, 612, 311, 400, 481?
Answer: LCM of 858, 612, 311, 400, 481 is 100704661200.
2. How to calculate the LCM of 858, 612, 311, 400, 481?
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 858, 612, 311, 400, 481.
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}.