Find the LCM of 227, 122, 553, 196 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 227, 122, 553, 196. So, keep reading to learn more.
Given numbers are 227,122,553,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,122,553,196 is 214406948.
Find LCM of 227,122,553,196 with Prime Factorization
2 | 227, 122, 553, 196 |
7 | 227, 61, 553, 98 |
227, 61, 79, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 227 x 61 x 79 x 14 = 214406948
Therefore, the lowest common multiple of 227,122,553,196 is 214406948.
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.
227 x 122 x 553 x 196 = 3001697272
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.
227 : 1, 227
122 : 1, 2, 61, 122
553 : 1, 7, 79, 553
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,122,553,196, is 1.
Now, the common factors can be found like this.
227:227
122:2x 61
553:7x 79
196:2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 3001697272/(1x14)
LCM = 3001697272/14
LCM = 214406948
Thus, we can understand that the LCM of 227,122,553,196 is 214406948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 122, 553, 196?
Answer: LCM of 227, 122, 553, 196 is 214406948.
2. How to calculate the LCM of 227, 122, 553, 196?
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 227, 122, 553, 196.
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}.