Find the LCM of 810, 540, 306, 851 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 810, 540, 306, 851. So, keep reading to learn more.
Given numbers are 810,540,306,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,540,306,851 is 23436540.
Find LCM of 810,540,306,851 with Prime Factorization
2 | 810, 540, 306, 851 |
3 | 405, 270, 153, 851 |
3 | 135, 90, 51, 851 |
3 | 45, 30, 17, 851 |
5 | 15, 10, 17, 851 |
3, 2, 17, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 3 x 2 x 17 x 851 = 23436540
Therefore, the lowest common multiple of 810,540,306,851 is 23436540.
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.
810 x 540 x 306 x 851 = 113901584400
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,540,306,851, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
540:2x 2x 3x 3x 3x 5
306:2x 3x 3x 17
851:23x 37
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 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 113901584400/(1x4860)
LCM = 113901584400/4860
LCM = 23436540
Thus, we can understand that the LCM of 810,540,306,851 is 23436540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 540, 306, 851?
Answer: LCM of 810, 540, 306, 851 is 23436540.
2. How to calculate the LCM of 810, 540, 306, 851?
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 810, 540, 306, 851.
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}.