Find the LCM of 959, 855, 418, 920, 911 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 959, 855, 418, 920, 911. So, keep reading to learn more.
Given numbers are 959,855,418,920,911
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,855,418,920,911 is 1511867067480.
Find LCM of 959,855,418,920,911 with Prime Factorization
2 | 959, 855, 418, 920, 911 |
5 | 959, 855, 209, 460, 911 |
19 | 959, 171, 209, 92, 911 |
959, 9, 11, 92, 911 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 959 x 9 x 11 x 92 x 911 = 1511867067480
Therefore, the lowest common multiple of 959,855,418,920,911 is 1511867067480.
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.
959 x 855 x 418 x 920 x 911 = 287254742821200
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.
959 : 1, 7, 137, 959
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
418 : 1, 2, 11, 19, 22, 38, 209, 418
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
911 : 1, 911
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,855,418,920,911, is 1.
Now, the common factors can be found like this.
959:7x 137
855:3x 3x 5x 19
418:2x 11x 19
920:2x 2x 2x 5x 23
911:911
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 19 = 190
Therefore, the value for common factors is 190.
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 = 287254742821200/(1x190)
LCM = 287254742821200/190
LCM = 1511867067480
Thus, we can understand that the LCM of 959,855,418,920,911 is 1511867067480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 855, 418, 920, 911?
Answer: LCM of 959, 855, 418, 920, 911 is 1511867067480.
2. How to calculate the LCM of 959, 855, 418, 920, 911?
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 959, 855, 418, 920, 911.
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}.