LCM of 909, 438, 404, 589, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 438, 404, 589, 577 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 909, 438, 404, 589, 577. So, keep reading to learn more.
Given numbers are 909,438,404,589,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,438,404,589,577 is 90206502084.
Find LCM of 909,438,404,589,577 with Prime Factorization
| 2 | 909, 438, 404, 589, 577 |
| 3 | 909, 219, 202, 589, 577 |
| 101 | 303, 73, 202, 589, 577 |
| 3, 73, 2, 589, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 3 x 73 x 2 x 589 x 577 = 90206502084
Therefore, the lowest common multiple of 909,438,404,589,577 is 90206502084.
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.
909 x 438 x 404 x 589 x 577 = 54665140262904
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.
909 : 1, 3, 9, 101, 303, 909
438 : 1, 2, 3, 6, 73, 146, 219, 438
404 : 1, 2, 4, 101, 202, 404
589 : 1, 19, 31, 589
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,438,404,589,577, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
438:2x 3x 73
404:2x 2x 101
589:19x 31
577:577
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 101 = 606
Therefore, the value for common factors is 606.
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 = 54665140262904/(1x606)
LCM = 54665140262904/606
LCM = 90206502084
Thus, we can understand that the LCM of 909,438,404,589,577 is 90206502084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 438, 404, 589, 577
1. What is the LCM of 909, 438, 404, 589, 577?
Answer: LCM of 909, 438, 404, 589, 577 is 90206502084.
2. How to calculate the LCM of 909, 438, 404, 589, 577?
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 909, 438, 404, 589, 577.
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}.