LCM of 437, 135, 741, 897, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 135, 741, 897, 568 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, 135, 741, 897, 568. So, keep reading to learn more.
Given numbers are 437,135,741,897,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,135,741,897,568 is 435619080.
Find LCM of 437,135,741,897,568 with Prime Factorization
| 3 | 437, 135, 741, 897, 568 |
| 13 | 437, 45, 247, 299, 568 |
| 19 | 437, 45, 19, 23, 568 |
| 23 | 23, 45, 1, 23, 568 |
| 1, 45, 1, 1, 568 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 23 x 1 x 45 x 1 x 1 x 568 = 435619080
Therefore, the lowest common multiple of 437,135,741,897,568 is 435619080.
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 135 x 741 x 897 x 568 = 22272767941320
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
741 : 1, 3, 13, 19, 39, 57, 247, 741
897 : 1, 3, 13, 23, 39, 69, 299, 897
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,135,741,897,568, is 1.
Now, the common factors can be found like this.
437:19x 23
135:3x 3x 3x 5
741:3x 13x 19
897:3x 13x 23
568:2x 2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 19x 23 = 51129
Therefore, the value for common factors is 51129.
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 = 22272767941320/(1x51129)
LCM = 22272767941320/51129
LCM = 435619080
Thus, we can understand that the LCM of 437,135,741,897,568 is 435619080.
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FAQs on LCM of 437, 135, 741, 897, 568
1. What is the LCM of 437, 135, 741, 897, 568?
Answer: LCM of 437, 135, 741, 897, 568 is 435619080.
2. How to calculate the LCM of 437, 135, 741, 897, 568?
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, 135, 741, 897, 568.
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}.