LCM of 449, 938, 938, 825, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 938, 938, 825, 640 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 449, 938, 938, 825, 640. So, keep reading to learn more.
Given numbers are 449,938,938,825,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,938,938,825,640 is 22237353600.
Find LCM of 449,938,938,825,640 with Prime Factorization
| 2 | 449, 938, 938, 825, 640 |
| 5 | 449, 469, 469, 825, 320 |
| 7 | 449, 469, 469, 165, 64 |
| 67 | 449, 67, 67, 165, 64 |
| 449, 1, 1, 165, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 67 x 449 x 1 x 1 x 165 x 64 = 22237353600
Therefore, the lowest common multiple of 449,938,938,825,640 is 22237353600.
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.
449 x 938 x 938 x 825 x 640 = 208586376768000
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.
449 : 1, 449
938 : 1, 2, 7, 14, 67, 134, 469, 938
938 : 1, 2, 7, 14, 67, 134, 469, 938
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,938,938,825,640, is 1.
Now, the common factors can be found like this.
449:449
938:2x 7x 67
938:2x 7x 67
825:3x 5x 5x 11
640:2x 2x 2x 2x 2x 2x 2x 5
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 5x 7x 67 = 9380
Therefore, the value for common factors is 9380.
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 = 208586376768000/(1x9380)
LCM = 208586376768000/9380
LCM = 22237353600
Thus, we can understand that the LCM of 449,938,938,825,640 is 22237353600.
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FAQs on LCM of 449, 938, 938, 825, 640
1. What is the LCM of 449, 938, 938, 825, 640?
Answer: LCM of 449, 938, 938, 825, 640 is 22237353600.
2. How to calculate the LCM of 449, 938, 938, 825, 640?
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 449, 938, 938, 825, 640.
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}.