Find the LCM of 505, 458, 916, 965 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 505, 458, 916, 965. So, keep reading to learn more.
Given numbers are 505,458,916,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,458,916,965 is 89277940.
Find LCM of 505,458,916,965 with Prime Factorization
2 | 505, 458, 916, 965 |
5 | 505, 229, 458, 965 |
229 | 101, 229, 458, 193 |
101, 1, 2, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 229 x 101 x 1 x 2 x 193 = 89277940
Therefore, the lowest common multiple of 505,458,916,965 is 89277940.
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.
505 x 458 x 916 x 965 = 204446482600
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.
505 : 1, 5, 101, 505
458 : 1, 2, 229, 458
916 : 1, 2, 4, 229, 458, 916
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,458,916,965, is 1.
Now, the common factors can be found like this.
505:5x 101
458:2x 229
916:2x 2x 229
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 229 = 2290
Therefore, the value for common factors is 2290.
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 = 204446482600/(1x2290)
LCM = 204446482600/2290
LCM = 89277940
Thus, we can understand that the LCM of 505,458,916,965 is 89277940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 458, 916, 965?
Answer: LCM of 505, 458, 916, 965 is 89277940.
2. How to calculate the LCM of 505, 458, 916, 965?
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 505, 458, 916, 965.
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}.