LCM of 205, 612, 869, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 612, 869, 645 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 205, 612, 869, 645. So, keep reading to learn more.
Given numbers are 205,612,869,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,612,869,645 is 4688063820.
Find LCM of 205,612,869,645 with Prime Factorization
| 3 | 205, 612, 869, 645 |
| 5 | 205, 204, 869, 215 |
| 41, 204, 869, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 204 x 869 x 43 = 4688063820
Therefore, the lowest common multiple of 205,612,869,645 is 4688063820.
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.
205 x 612 x 869 x 645 = 70320957300
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.
205 : 1, 5, 41, 205
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
869 : 1, 11, 79, 869
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,612,869,645, is 1.
Now, the common factors can be found like this.
205:5x 41
612:2x 2x 3x 3x 17
869:11x 79
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 70320957300/(1x15)
LCM = 70320957300/15
LCM = 4688063820
Thus, we can understand that the LCM of 205,612,869,645 is 4688063820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 205, 612, 869, 645
1. What is the LCM of 205, 612, 869, 645?
Answer: LCM of 205, 612, 869, 645 is 4688063820.
2. How to calculate the LCM of 205, 612, 869, 645?
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 205, 612, 869, 645.
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}.