Find the LCM of 636, 867, 540, 115, 585 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 636, 867, 540, 115, 585. So, keep reading to learn more.
Given numbers are 636,867,540,115,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,867,540,115,585 is 2473082820.
Find LCM of 636,867,540,115,585 with Prime Factorization
2 | 636, 867, 540, 115, 585 |
2 | 318, 867, 270, 115, 585 |
3 | 159, 867, 135, 115, 585 |
3 | 53, 289, 45, 115, 195 |
5 | 53, 289, 15, 115, 65 |
53, 289, 3, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 53 x 289 x 3 x 23 x 13 = 2473082820
Therefore, the lowest common multiple of 636,867,540,115,585 is 2473082820.
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.
636 x 867 x 540 x 115 x 585 = 20031970842000
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
867 : 1, 3, 17, 51, 289, 867
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
115 : 1, 5, 23, 115
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,867,540,115,585, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
867:3x 17x 17
540:2x 2x 3x 3x 3x 5
115:5x 23
585:3x 3x 5x 13
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 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 20031970842000/(1x8100)
LCM = 20031970842000/8100
LCM = 2473082820
Thus, we can understand that the LCM of 636,867,540,115,585 is 2473082820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 636, 867, 540, 115, 585?
Answer: LCM of 636, 867, 540, 115, 585 is 2473082820.
2. How to calculate the LCM of 636, 867, 540, 115, 585?
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 636, 867, 540, 115, 585.
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}.