Find the LCM of 401, 901, 993, 884 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 401, 901, 993, 884. So, keep reading to learn more.
Given numbers are 401,901,993,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,901,993,884 is 18656138436.
Find LCM of 401,901,993,884 with Prime Factorization
17 | 401, 901, 993, 884 |
401, 53, 993, 52 |
Multiply the prime numbers at the bottom and the left side.
17 x 401 x 53 x 993 x 52 = 18656138436
Therefore, the lowest common multiple of 401,901,993,884 is 18656138436.
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.
401 x 901 x 993 x 884 = 317154353412
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.
401 : 1, 401
901 : 1, 17, 53, 901
993 : 1, 3, 331, 993
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,901,993,884, is 1.
Now, the common factors can be found like this.
401:401
901:17x 53
993:3x 331
884:2x 2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 317154353412/(1x17)
LCM = 317154353412/17
LCM = 18656138436
Thus, we can understand that the LCM of 401,901,993,884 is 18656138436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 901, 993, 884?
Answer: LCM of 401, 901, 993, 884 is 18656138436.
2. How to calculate the LCM of 401, 901, 993, 884?
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 401, 901, 993, 884.
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}.