LCM of 438, 561, 961, 434, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 561, 961, 434, 385 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 438, 561, 961, 434, 385. So, keep reading to learn more.
Given numbers are 438,561,961,434,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,561,961,434,385 is 2754908310.
Find LCM of 438,561,961,434,385 with Prime Factorization
| 2 | 438, 561, 961, 434, 385 |
| 3 | 219, 561, 961, 217, 385 |
| 7 | 73, 187, 961, 217, 385 |
| 11 | 73, 187, 961, 31, 55 |
| 31 | 73, 17, 961, 31, 5 |
| 73, 17, 1, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 31 x 73 x 17 x 1 x 31 x 5 = 2754908310
Therefore, the lowest common multiple of 438,561,961,434,385 is 2754908310.
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.
438 x 561 x 961 x 434 x 385 = 39455796815820
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
561 : 1, 3, 11, 17, 33, 51, 187, 561
961 : 1, 31, 961
434 : 1, 2, 7, 14, 31, 62, 217, 434
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,561,961,434,385, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
561:3x 11x 17
961:31x 31
434:2x 7x 31
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 31 = 14322
Therefore, the value for common factors is 14322.
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 = 39455796815820/(1x14322)
LCM = 39455796815820/14322
LCM = 2754908310
Thus, we can understand that the LCM of 438,561,961,434,385 is 2754908310.
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FAQs on LCM of 438, 561, 961, 434, 385
1. What is the LCM of 438, 561, 961, 434, 385?
Answer: LCM of 438, 561, 961, 434, 385 is 2754908310.
2. How to calculate the LCM of 438, 561, 961, 434, 385?
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 438, 561, 961, 434, 385.
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}.