LCM of 589, 202, 441, 438, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 202, 441, 438, 441 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 589, 202, 441, 438, 441. So, keep reading to learn more.
Given numbers are 589,202,441,438,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,202,441,438,441 is 3830258754.
Find LCM of 589,202,441,438,441 with Prime Factorization
| 2 | 589, 202, 441, 438, 441 |
| 3 | 589, 101, 441, 219, 441 |
| 3 | 589, 101, 147, 73, 147 |
| 7 | 589, 101, 49, 73, 49 |
| 7 | 589, 101, 7, 73, 7 |
| 589, 101, 1, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 589 x 101 x 1 x 73 x 1 = 3830258754
Therefore, the lowest common multiple of 589,202,441,438,441 is 3830258754.
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.
589 x 202 x 441 x 438 x 441 = 10134864663084
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.
589 : 1, 19, 31, 589
202 : 1, 2, 101, 202
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
438 : 1, 2, 3, 6, 73, 146, 219, 438
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,202,441,438,441, is 1.
Now, the common factors can be found like this.
589:19x 31
202:2x 101
441:3x 3x 7x 7
438:2x 3x 73
441:3x 3x 7x 7
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 3x 3x 7x 7 = 2646
Therefore, the value for common factors is 2646.
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 = 10134864663084/(1x2646)
LCM = 10134864663084/2646
LCM = 3830258754
Thus, we can understand that the LCM of 589,202,441,438,441 is 3830258754.
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FAQs on LCM of 589, 202, 441, 438, 441
1. What is the LCM of 589, 202, 441, 438, 441?
Answer: LCM of 589, 202, 441, 438, 441 is 3830258754.
2. How to calculate the LCM of 589, 202, 441, 438, 441?
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 589, 202, 441, 438, 441.
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}.