Find the LCM of 998, 968, 209, 121 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, 968, 209, 121. So, keep reading to learn more.
Given numbers are 998,968,209,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,968,209,121 is 9177608.
Find LCM of 998,968,209,121 with Prime Factorization
2 | 998, 968, 209, 121 |
11 | 499, 484, 209, 121 |
11 | 499, 44, 19, 11 |
499, 4, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 499 x 4 x 19 x 1 = 9177608
Therefore, the lowest common multiple of 998,968,209,121 is 9177608.
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 968 x 209 x 121 = 24430792496
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
209 : 1, 11, 19, 209
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,968,209,121, is 1.
Now, the common factors can be found like this.
998:2x 499
968:2x 2x 2x 11x 11
209:11x 19
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11 = 2662
Therefore, the value for common factors is 2662.
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 = 24430792496/(1x2662)
LCM = 24430792496/2662
LCM = 9177608
Thus, we can understand that the LCM of 998,968,209,121 is 9177608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 968, 209, 121?
Answer: LCM of 998, 968, 209, 121 is 9177608.
2. How to calculate the LCM of 998, 968, 209, 121?
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, 968, 209, 121.
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}.