LCM of 845, 617, 844, 405, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 617, 844, 405, 552 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 845, 617, 844, 405, 552. So, keep reading to learn more.
Given numbers are 845,617,844,405,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,617,844,405,552 is 1639559455560.
Find LCM of 845,617,844,405,552 with Prime Factorization
| 2 | 845, 617, 844, 405, 552 |
| 2 | 845, 617, 422, 405, 276 |
| 3 | 845, 617, 211, 405, 138 |
| 5 | 845, 617, 211, 135, 46 |
| 169, 617, 211, 27, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 169 x 617 x 211 x 27 x 46 = 1639559455560
Therefore, the lowest common multiple of 845,617,844,405,552 is 1639559455560.
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.
845 x 617 x 844 x 405 x 552 = 98373567333600
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.
845 : 1, 5, 13, 65, 169, 845
617 : 1, 617
844 : 1, 2, 4, 211, 422, 844
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,617,844,405,552, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
617:617
844:2x 2x 211
405:3x 3x 3x 3x 5
552:2x 2x 2x 3x 23
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 5 = 60
Therefore, the value for common factors is 60.
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 = 98373567333600/(1x60)
LCM = 98373567333600/60
LCM = 1639559455560
Thus, we can understand that the LCM of 845,617,844,405,552 is 1639559455560.
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FAQs on LCM of 845, 617, 844, 405, 552
1. What is the LCM of 845, 617, 844, 405, 552?
Answer: LCM of 845, 617, 844, 405, 552 is 1639559455560.
2. How to calculate the LCM of 845, 617, 844, 405, 552?
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 845, 617, 844, 405, 552.
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}.