LCM of 108, 102, 682, 901, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 102, 682, 901, 675 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, 102, 682, 901, 675. So, keep reading to learn more.
Given numbers are 108,102,682,901,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,102,682,901,675 is 829550700.
Find LCM of 108,102,682,901,675 with Prime Factorization
| 2 | 108, 102, 682, 901, 675 |
| 3 | 54, 51, 341, 901, 675 |
| 3 | 18, 17, 341, 901, 225 |
| 3 | 6, 17, 341, 901, 75 |
| 17 | 2, 17, 341, 901, 25 |
| 2, 1, 341, 53, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 2 x 1 x 341 x 53 x 25 = 829550700
Therefore, the lowest common multiple of 108,102,682,901,675 is 829550700.
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 102 x 682 x 901 x 675 = 4569165255600
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
102 : 1, 2, 3, 6, 17, 34, 51, 102
682 : 1, 2, 11, 22, 31, 62, 341, 682
901 : 1, 17, 53, 901
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,102,682,901,675, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
102:2x 3x 17
682:2x 11x 31
901:17x 53
675:3x 3x 3x 5x 5
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 17 = 5508
Therefore, the value for common factors is 5508.
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 = 4569165255600/(1x5508)
LCM = 4569165255600/5508
LCM = 829550700
Thus, we can understand that the LCM of 108,102,682,901,675 is 829550700.
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FAQs on LCM of 108, 102, 682, 901, 675
1. What is the LCM of 108, 102, 682, 901, 675?
Answer: LCM of 108, 102, 682, 901, 675 is 829550700.
2. How to calculate the LCM of 108, 102, 682, 901, 675?
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, 102, 682, 901, 675.
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}.