Find the LCM of 835, 558, 828, 790, 365 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 835, 558, 828, 790, 365. So, keep reading to learn more.
Given numbers are 835,558,828,790,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,558,828,790,365 is 123602842260.
Find LCM of 835,558,828,790,365 with Prime Factorization
2 | 835, 558, 828, 790, 365 |
3 | 835, 279, 414, 395, 365 |
3 | 835, 93, 138, 395, 365 |
5 | 835, 31, 46, 395, 365 |
167, 31, 46, 79, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 167 x 31 x 46 x 79 x 73 = 123602842260
Therefore, the lowest common multiple of 835,558,828,790,365 is 123602842260.
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.
835 x 558 x 828 x 790 x 365 = 111242558034000
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.
835 : 1, 5, 167, 835
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
790 : 1, 2, 5, 10, 79, 158, 395, 790
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,558,828,790,365, is 1.
Now, the common factors can be found like this.
835:5x 167
558:2x 3x 3x 31
828:2x 2x 3x 3x 23
790:2x 5x 79
365:5x 73
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 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 111242558034000/(1x900)
LCM = 111242558034000/900
LCM = 123602842260
Thus, we can understand that the LCM of 835,558,828,790,365 is 123602842260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 558, 828, 790, 365?
Answer: LCM of 835, 558, 828, 790, 365 is 123602842260.
2. How to calculate the LCM of 835, 558, 828, 790, 365?
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 835, 558, 828, 790, 365.
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}.