LCM of 629, 840, 746, 405, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 840, 746, 405, 438 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 629, 840, 746, 405, 438. So, keep reading to learn more.
Given numbers are 629,840,746,405,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,840,746,405,438 is 388441289880.
Find LCM of 629,840,746,405,438 with Prime Factorization
| 2 | 629, 840, 746, 405, 438 |
| 3 | 629, 420, 373, 405, 219 |
| 5 | 629, 140, 373, 135, 73 |
| 629, 28, 373, 27, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 629 x 28 x 373 x 27 x 73 = 388441289880
Therefore, the lowest common multiple of 629,840,746,405,438 is 388441289880.
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.
629 x 840 x 746 x 405 x 438 = 69919432178400
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.
629 : 1, 17, 37, 629
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
746 : 1, 2, 373, 746
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,840,746,405,438, is 1.
Now, the common factors can be found like this.
629:17x 37
840:2x 2x 2x 3x 5x 7
746:2x 373
405:3x 3x 3x 3x 5
438:2x 3x 73
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 = 69919432178400/(1x180)
LCM = 69919432178400/180
LCM = 388441289880
Thus, we can understand that the LCM of 629,840,746,405,438 is 388441289880.
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FAQs on LCM of 629, 840, 746, 405, 438
1. What is the LCM of 629, 840, 746, 405, 438?
Answer: LCM of 629, 840, 746, 405, 438 is 388441289880.
2. How to calculate the LCM of 629, 840, 746, 405, 438?
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 629, 840, 746, 405, 438.
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}.