LCM of 589, 886, 404, 541, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 886, 404, 541, 690 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, 886, 404, 541, 690. So, keep reading to learn more.
Given numbers are 589,886,404,541,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,886,404,541,690 is 19675090845660.
Find LCM of 589,886,404,541,690 with Prime Factorization
| 2 | 589, 886, 404, 541, 690 |
| 589, 443, 202, 541, 345 |
Multiply the prime numbers at the bottom and the left side.
2 x 589 x 443 x 202 x 541 x 345 = 19675090845660
Therefore, the lowest common multiple of 589,886,404,541,690 is 19675090845660.
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 886 x 404 x 541 x 690 = 78700363382640
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
886 : 1, 2, 443, 886
404 : 1, 2, 4, 101, 202, 404
541 : 1, 541
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,886,404,541,690, is 1.
Now, the common factors can be found like this.
589:19x 31
886:2x 443
404:2x 2x 101
541:541
690:2x 3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 78700363382640/(1x4)
LCM = 78700363382640/4
LCM = 19675090845660
Thus, we can understand that the LCM of 589,886,404,541,690 is 19675090845660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 886, 404, 541, 690
1. What is the LCM of 589, 886, 404, 541, 690?
Answer: LCM of 589, 886, 404, 541, 690 is 19675090845660.
2. How to calculate the LCM of 589, 886, 404, 541, 690?
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, 886, 404, 541, 690.
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}.