Find the LCM of 916, 499, 930, 930, 610 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 916, 499, 930, 930, 610. So, keep reading to learn more.
Given numbers are 916,499,930,930,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,499,930,930,610 is 12965187660.
Find LCM of 916,499,930,930,610 with Prime Factorization
2 | 916, 499, 930, 930, 610 |
3 | 458, 499, 465, 465, 305 |
5 | 458, 499, 155, 155, 305 |
31 | 458, 499, 31, 31, 61 |
458, 499, 1, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 458 x 499 x 1 x 1 x 61 = 12965187660
Therefore, the lowest common multiple of 916,499,930,930,610 is 12965187660.
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.
916 x 499 x 930 x 930 x 610 = 241152490476000
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.
916 : 1, 2, 4, 229, 458, 916
499 : 1, 499
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,499,930,930,610, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
499:499
930:2x 3x 5x 31
930:2x 3x 5x 31
610:2x 5x 61
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 2x 3x 5x 5x 31 = 18600
Therefore, the value for common factors is 18600.
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 = 241152490476000/(1x18600)
LCM = 241152490476000/18600
LCM = 12965187660
Thus, we can understand that the LCM of 916,499,930,930,610 is 12965187660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 499, 930, 930, 610?
Answer: LCM of 916, 499, 930, 930, 610 is 12965187660.
2. How to calculate the LCM of 916, 499, 930, 930, 610?
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 916, 499, 930, 930, 610.
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}.