Find the LCM of 306, 291, 289, 810, 554 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 306, 291, 289, 810, 554. So, keep reading to learn more.
Given numbers are 306,291,289,810,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,291,289,810,554 is 6289764210.
Find LCM of 306,291,289,810,554 with Prime Factorization
2 | 306, 291, 289, 810, 554 |
3 | 153, 291, 289, 405, 277 |
3 | 51, 97, 289, 135, 277 |
17 | 17, 97, 289, 45, 277 |
1, 97, 17, 45, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 1 x 97 x 17 x 45 x 277 = 6289764210
Therefore, the lowest common multiple of 306,291,289,810,554 is 6289764210.
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.
306 x 291 x 289 x 810 x 554 = 11548007089560
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
291 : 1, 3, 97, 291
289 : 1, 17, 289
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,291,289,810,554, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
291:3x 97
289:17x 17
810:2x 3x 3x 3x 3x 5
554:2x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 11548007089560/(1x1836)
LCM = 11548007089560/1836
LCM = 6289764210
Thus, we can understand that the LCM of 306,291,289,810,554 is 6289764210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 306, 291, 289, 810, 554?
Answer: LCM of 306, 291, 289, 810, 554 is 6289764210.
2. How to calculate the LCM of 306, 291, 289, 810, 554?
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 306, 291, 289, 810, 554.
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}.