LCM of 445, 470, 126, 213, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 470, 126, 213, 888 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 445, 470, 126, 213, 888. So, keep reading to learn more.
Given numbers are 445,470,126,213,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,470,126,213,888 is 27691627320.
Find LCM of 445,470,126,213,888 with Prime Factorization
| 2 | 445, 470, 126, 213, 888 |
| 3 | 445, 235, 63, 213, 444 |
| 5 | 445, 235, 21, 71, 148 |
| 89, 47, 21, 71, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 47 x 21 x 71 x 148 = 27691627320
Therefore, the lowest common multiple of 445,470,126,213,888 is 27691627320.
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.
445 x 470 x 126 x 213 x 888 = 4984492917600
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.
445 : 1, 5, 89, 445
470 : 1, 2, 5, 10, 47, 94, 235, 470
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
213 : 1, 3, 71, 213
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,470,126,213,888, is 1.
Now, the common factors can be found like this.
445:5x 89
470:2x 5x 47
126:2x 3x 3x 7
213:3x 71
888:2x 2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 4984492917600/(1x180)
LCM = 4984492917600/180
LCM = 27691627320
Thus, we can understand that the LCM of 445,470,126,213,888 is 27691627320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 445, 470, 126, 213, 888
1. What is the LCM of 445, 470, 126, 213, 888?
Answer: LCM of 445, 470, 126, 213, 888 is 27691627320.
2. How to calculate the LCM of 445, 470, 126, 213, 888?
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 445, 470, 126, 213, 888.
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}.