Find the LCM of 391, 608, 322, 634, 931 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 391, 608, 322, 634, 931. So, keep reading to learn more.
Given numbers are 391,608,322,634,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,608,322,634,931 is 3692629024.
Find LCM of 391,608,322,634,931 with Prime Factorization
2 | 391, 608, 322, 634, 931 |
7 | 391, 304, 161, 317, 931 |
19 | 391, 304, 23, 317, 133 |
23 | 391, 16, 23, 317, 7 |
17, 16, 1, 317, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 23 x 17 x 16 x 1 x 317 x 7 = 3692629024
Therefore, the lowest common multiple of 391,608,322,634,931 is 3692629024.
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.
391 x 608 x 322 x 634 x 931 = 45183008737664
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.
391 : 1, 17, 23, 391
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
322 : 1, 2, 7, 14, 23, 46, 161, 322
634 : 1, 2, 317, 634
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,608,322,634,931, is 1.
Now, the common factors can be found like this.
391:17x 23
608:2x 2x 2x 2x 2x 19
322:2x 7x 23
634:2x 317
931:7x 7x 19
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 7x 19x 23 = 12236
Therefore, the value for common factors is 12236.
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 = 45183008737664/(1x12236)
LCM = 45183008737664/12236
LCM = 3692629024
Thus, we can understand that the LCM of 391,608,322,634,931 is 3692629024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 608, 322, 634, 931?
Answer: LCM of 391, 608, 322, 634, 931 is 3692629024.
2. How to calculate the LCM of 391, 608, 322, 634, 931?
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 391, 608, 322, 634, 931.
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}.