Find the LCM of 998, 561, 253, 961, 803 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 998, 561, 253, 961, 803. So, keep reading to learn more.
Given numbers are 998,561,253,961,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,561,253,961,803 is 903373790682.
Find LCM of 998,561,253,961,803 with Prime Factorization
11 | 998, 561, 253, 961, 803 |
998, 51, 23, 961, 73 |
Multiply the prime numbers at the bottom and the left side.
11 x 998 x 51 x 23 x 961 x 73 = 903373790682
Therefore, the lowest common multiple of 998,561,253,961,803 is 903373790682.
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.
998 x 561 x 253 x 961 x 803 = 109308228672522
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.
998 : 1, 2, 499, 998
561 : 1, 3, 11, 17, 33, 51, 187, 561
253 : 1, 11, 23, 253
961 : 1, 31, 961
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,561,253,961,803, is 1.
Now, the common factors can be found like this.
998:2x 499
561:3x 11x 17
253:11x 23
961:31x 31
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 109308228672522/(1x121)
LCM = 109308228672522/121
LCM = 903373790682
Thus, we can understand that the LCM of 998,561,253,961,803 is 903373790682.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 561, 253, 961, 803?
Answer: LCM of 998, 561, 253, 961, 803 is 903373790682.
2. How to calculate the LCM of 998, 561, 253, 961, 803?
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 998, 561, 253, 961, 803.
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}.