Find the LCM of 108, 975, 533, 927, 835 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 108, 975, 533, 927, 835. So, keep reading to learn more.
Given numbers are 108,975,533,927,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,975,533,927,835 is 24753959100.
Find LCM of 108,975,533,927,835 with Prime Factorization
3 | 108, 975, 533, 927, 835 |
3 | 36, 325, 533, 309, 835 |
5 | 12, 325, 533, 103, 835 |
13 | 12, 65, 533, 103, 167 |
12, 5, 41, 103, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 12 x 5 x 41 x 103 x 167 = 24753959100
Therefore, the lowest common multiple of 108,975,533,927,835 is 24753959100.
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.
108 x 975 x 533 x 927 x 835 = 43443198220500
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
533 : 1, 13, 41, 533
927 : 1, 3, 9, 103, 309, 927
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,975,533,927,835, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
975:3x 5x 5x 13
533:13x 41
927:3x 3x 103
835:5x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 13 = 1755
Therefore, the value for common factors is 1755.
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 = 43443198220500/(1x1755)
LCM = 43443198220500/1755
LCM = 24753959100
Thus, we can understand that the LCM of 108,975,533,927,835 is 24753959100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 108, 975, 533, 927, 835?
Answer: LCM of 108, 975, 533, 927, 835 is 24753959100.
2. How to calculate the LCM of 108, 975, 533, 927, 835?
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 108, 975, 533, 927, 835.
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}.