Find the LCM of 565, 104, 740, 913, 103 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 565, 104, 740, 913, 103. So, keep reading to learn more.
Given numbers are 565,104,740,913,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,104,740,913,103 is 204452070680.
Find LCM of 565,104,740,913,103 with Prime Factorization
2 | 565, 104, 740, 913, 103 |
2 | 565, 52, 370, 913, 103 |
5 | 565, 26, 185, 913, 103 |
113, 26, 37, 913, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 113 x 26 x 37 x 913 x 103 = 204452070680
Therefore, the lowest common multiple of 565,104,740,913,103 is 204452070680.
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.
565 x 104 x 740 x 913 x 103 = 4089041413600
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.
565 : 1, 5, 113, 565
104 : 1, 2, 4, 8, 13, 26, 52, 104
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
913 : 1, 11, 83, 913
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,104,740,913,103, is 1.
Now, the common factors can be found like this.
565:5x 113
104:2x 2x 2x 13
740:2x 2x 5x 37
913:11x 83
103:103
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 5 = 20
Therefore, the value for common factors is 20.
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 = 4089041413600/(1x20)
LCM = 4089041413600/20
LCM = 204452070680
Thus, we can understand that the LCM of 565,104,740,913,103 is 204452070680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 104, 740, 913, 103?
Answer: LCM of 565, 104, 740, 913, 103 is 204452070680.
2. How to calculate the LCM of 565, 104, 740, 913, 103?
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 565, 104, 740, 913, 103.
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}.