Find the LCM of 227, 645, 946, 110, 147 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, 645, 946, 110, 147. So, keep reading to learn more.
Given numbers are 227,645,946,110,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,645,946,110,147 is 157835370.
Find LCM of 227,645,946,110,147 with Prime Factorization
2 | 227, 645, 946, 110, 147 |
3 | 227, 645, 473, 55, 147 |
5 | 227, 215, 473, 55, 49 |
11 | 227, 43, 473, 11, 49 |
43 | 227, 43, 43, 1, 49 |
227, 1, 1, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 43 x 227 x 1 x 1 x 1 x 49 = 157835370
Therefore, the lowest common multiple of 227,645,946,110,147 is 157835370.
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 645 x 946 x 110 x 147 = 2239683900300
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
645 : 1, 3, 5, 15, 43, 129, 215, 645
946 : 1, 2, 11, 22, 43, 86, 473, 946
110 : 1, 2, 5, 10, 11, 22, 55, 110
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,645,946,110,147, is 1.
Now, the common factors can be found like this.
227:227
645:3x 5x 43
946:2x 11x 43
110:2x 5x 11
147:3x 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 3x 5x 11x 43 = 14190
Therefore, the value for common factors is 14190.
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 = 2239683900300/(1x14190)
LCM = 2239683900300/14190
LCM = 157835370
Thus, we can understand that the LCM of 227,645,946,110,147 is 157835370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 227, 645, 946, 110, 147?
Answer: LCM of 227, 645, 946, 110, 147 is 157835370.
2. How to calculate the LCM of 227, 645, 946, 110, 147?
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, 645, 946, 110, 147.
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}.