LCM of 989, 460, 471, 649, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 460, 471, 649, 226 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 989, 460, 471, 649, 226. So, keep reading to learn more.
Given numbers are 989,460,471,649,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,460,471,649,226 is 683235360060.
Find LCM of 989,460,471,649,226 with Prime Factorization
| 2 | 989, 460, 471, 649, 226 |
| 23 | 989, 230, 471, 649, 113 |
| 43, 10, 471, 649, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 43 x 10 x 471 x 649 x 113 = 683235360060
Therefore, the lowest common multiple of 989,460,471,649,226 is 683235360060.
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.
989 x 460 x 471 x 649 x 226 = 31428826562760
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.
989 : 1, 23, 43, 989
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
471 : 1, 3, 157, 471
649 : 1, 11, 59, 649
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,460,471,649,226, is 1.
Now, the common factors can be found like this.
989:23x 43
460:2x 2x 5x 23
471:3x 157
649:11x 59
226:2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 31428826562760/(1x46)
LCM = 31428826562760/46
LCM = 683235360060
Thus, we can understand that the LCM of 989,460,471,649,226 is 683235360060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 460, 471, 649, 226
1. What is the LCM of 989, 460, 471, 649, 226?
Answer: LCM of 989, 460, 471, 649, 226 is 683235360060.
2. How to calculate the LCM of 989, 460, 471, 649, 226?
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 989, 460, 471, 649, 226.
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}.