Find the LCM of 35, 87, 87, 55, 493 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 35, 87, 87, 55, 493. So, keep reading to learn more.
Given numbers are 35,87,87,55,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 35,87,87,55,493 is 569415.
Find LCM of 35,87,87,55,493 with Prime Factorization
3 | 35, 87, 87, 55, 493 |
5 | 35, 29, 29, 55, 493 |
29 | 7, 29, 29, 11, 493 |
7, 1, 1, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 7 x 1 x 1 x 11 x 17 = 569415
Therefore, the lowest common multiple of 35,87,87,55,493 is 569415.
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.
35 x 87 x 87 x 55 x 493 = 7183170225
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.
35 : 1, 5, 7, 35
87 : 1, 3, 29, 87
87 : 1, 3, 29, 87
55 : 1, 5, 11, 55
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 35,87,87,55,493, is 1.
Now, the common factors can be found like this.
35:5x 7
87:3x 29
87:3x 29
55:5x 11
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 29x 29 = 12615
Therefore, the value for common factors is 12615.
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 = 7183170225/(1x12615)
LCM = 7183170225/12615
LCM = 569415
Thus, we can understand that the LCM of 35,87,87,55,493 is 569415.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 35, 87, 87, 55, 493?
Answer: LCM of 35, 87, 87, 55, 493 is 569415.
2. How to calculate the LCM of 35, 87, 87, 55, 493?
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 35, 87, 87, 55, 493.
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}.