LCM of 906, 964, 227, 480, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 964, 227, 480, 249 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 906, 964, 227, 480, 249. So, keep reading to learn more.
Given numbers are 906,964,227,480,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,964,227,480,249 is 329108558880.
Find LCM of 906,964,227,480,249 with Prime Factorization
| 2 | 906, 964, 227, 480, 249 |
| 2 | 453, 482, 227, 240, 249 |
| 3 | 453, 241, 227, 120, 249 |
| 151, 241, 227, 40, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 241 x 227 x 40 x 83 = 329108558880
Therefore, the lowest common multiple of 906,964,227,480,249 is 329108558880.
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.
906 x 964 x 227 x 480 x 249 = 23695816239360
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
964 : 1, 2, 4, 241, 482, 964
227 : 1, 227
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,964,227,480,249, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
964:2x 2x 241
227:227
480:2x 2x 2x 2x 2x 3x 5
249:3x 83
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 23695816239360/(1x72)
LCM = 23695816239360/72
LCM = 329108558880
Thus, we can understand that the LCM of 906,964,227,480,249 is 329108558880.
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FAQs on LCM of 906, 964, 227, 480, 249
1. What is the LCM of 906, 964, 227, 480, 249?
Answer: LCM of 906, 964, 227, 480, 249 is 329108558880.
2. How to calculate the LCM of 906, 964, 227, 480, 249?
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 906, 964, 227, 480, 249.
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}.