LCM of 105, 280, 622, 154, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 280, 622, 154, 529 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 105, 280, 622, 154, 529. So, keep reading to learn more.
Given numbers are 105,280,622,154,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,280,622,154,529 is 1520155560.
Find LCM of 105,280,622,154,529 with Prime Factorization
| 2 | 105, 280, 622, 154, 529 |
| 5 | 105, 140, 311, 77, 529 |
| 7 | 21, 28, 311, 77, 529 |
| 3, 4, 311, 11, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 3 x 4 x 311 x 11 x 529 = 1520155560
Therefore, the lowest common multiple of 105,280,622,154,529 is 1520155560.
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.
105 x 280 x 622 x 154 x 529 = 1489752448800
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
622 : 1, 2, 311, 622
154 : 1, 2, 7, 11, 14, 22, 77, 154
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,280,622,154,529, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
280:2x 2x 2x 5x 7
622:2x 311
154:2x 7x 11
529:23x 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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 1489752448800/(1x980)
LCM = 1489752448800/980
LCM = 1520155560
Thus, we can understand that the LCM of 105,280,622,154,529 is 1520155560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 280, 622, 154, 529
1. What is the LCM of 105, 280, 622, 154, 529?
Answer: LCM of 105, 280, 622, 154, 529 is 1520155560.
2. How to calculate the LCM of 105, 280, 622, 154, 529?
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 105, 280, 622, 154, 529.
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}.