Find the LCM of 993, 401, 506, 961, 904 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 993, 401, 506, 961, 904. So, keep reading to learn more.
Given numbers are 993,401,506,961,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,401,506,961,904 is 87519728236776.
Find LCM of 993,401,506,961,904 with Prime Factorization
2 | 993, 401, 506, 961, 904 |
993, 401, 253, 961, 452 |
Multiply the prime numbers at the bottom and the left side.
2 x 993 x 401 x 253 x 961 x 452 = 87519728236776
Therefore, the lowest common multiple of 993,401,506,961,904 is 87519728236776.
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.
993 x 401 x 506 x 961 x 904 = 175039456473552
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.
993 : 1, 3, 331, 993
401 : 1, 401
506 : 1, 2, 11, 22, 23, 46, 253, 506
961 : 1, 31, 961
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,401,506,961,904, is 1.
Now, the common factors can be found like this.
993:3x 331
401:401
506:2x 11x 23
961:31x 31
904:2x 2x 2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 175039456473552/(1x2)
LCM = 175039456473552/2
LCM = 87519728236776
Thus, we can understand that the LCM of 993,401,506,961,904 is 87519728236776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 401, 506, 961, 904?
Answer: LCM of 993, 401, 506, 961, 904 is 87519728236776.
2. How to calculate the LCM of 993, 401, 506, 961, 904?
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 993, 401, 506, 961, 904.
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}.