Find the LCM of 103, 280, 455, 715, 121 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 103, 280, 455, 715, 121. So, keep reading to learn more.
Given numbers are 103,280,455,715,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,280,455,715,121 is 45365320.
Find LCM of 103,280,455,715,121 with Prime Factorization
5 | 103, 280, 455, 715, 121 |
7 | 103, 56, 91, 143, 121 |
11 | 103, 8, 13, 143, 121 |
13 | 103, 8, 13, 13, 11 |
103, 8, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 13 x 103 x 8 x 1 x 1 x 11 = 45365320
Therefore, the lowest common multiple of 103,280,455,715,121 is 45365320.
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.
103 x 280 x 455 x 715 x 121 = 1135267133000
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.
103 : 1, 103
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
455 : 1, 5, 7, 13, 35, 65, 91, 455
715 : 1, 5, 11, 13, 55, 65, 143, 715
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,280,455,715,121, is 1.
Now, the common factors can be found like this.
103:103
280:2x 2x 2x 5x 7
455:5x 7x 13
715:5x 11x 13
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11x 13 = 25025
Therefore, the value for common factors is 25025.
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 = 1135267133000/(1x25025)
LCM = 1135267133000/25025
LCM = 45365320
Thus, we can understand that the LCM of 103,280,455,715,121 is 45365320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 280, 455, 715, 121?
Answer: LCM of 103, 280, 455, 715, 121 is 45365320.
2. How to calculate the LCM of 103, 280, 455, 715, 121?
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 103, 280, 455, 715, 121.
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}.