LCM of 437, 324, 808, 963, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 324, 808, 963, 646 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 437, 324, 808, 963, 646. So, keep reading to learn more.
Given numbers are 437,324,808,963,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,324,808,963,646 is 52024811544.
Find LCM of 437,324,808,963,646 with Prime Factorization
| 2 | 437, 324, 808, 963, 646 |
| 2 | 437, 162, 404, 963, 323 |
| 3 | 437, 81, 202, 963, 323 |
| 3 | 437, 27, 202, 321, 323 |
| 19 | 437, 9, 202, 107, 323 |
| 23, 9, 202, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 23 x 9 x 202 x 107 x 17 = 52024811544
Therefore, the lowest common multiple of 437,324,808,963,646 is 52024811544.
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.
437 x 324 x 808 x 963 x 646 = 71169942192192
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.
437 : 1, 19, 23, 437
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
808 : 1, 2, 4, 8, 101, 202, 404, 808
963 : 1, 3, 9, 107, 321, 963
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,324,808,963,646, is 1.
Now, the common factors can be found like this.
437:19x 23
324:2x 2x 3x 3x 3x 3
808:2x 2x 2x 101
963:3x 3x 107
646:2x 17x 19
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 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 71169942192192/(1x1368)
LCM = 71169942192192/1368
LCM = 52024811544
Thus, we can understand that the LCM of 437,324,808,963,646 is 52024811544.
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FAQs on LCM of 437, 324, 808, 963, 646
1. What is the LCM of 437, 324, 808, 963, 646?
Answer: LCM of 437, 324, 808, 963, 646 is 52024811544.
2. How to calculate the LCM of 437, 324, 808, 963, 646?
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 437, 324, 808, 963, 646.
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}.