LCM of 676, 204, 243, 171, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 204, 243, 171, 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 676, 204, 243, 171, 645. So, keep reading to learn more.
Given numbers are 676,204,243,171,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,204,243,171,645 is 11407591260.
Find LCM of 676,204,243,171,645 with Prime Factorization
| 2 | 676, 204, 243, 171, 645 |
| 2 | 338, 102, 243, 171, 645 |
| 3 | 169, 51, 243, 171, 645 |
| 3 | 169, 17, 81, 57, 215 |
| 169, 17, 27, 19, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 169 x 17 x 27 x 19 x 215 = 11407591260
Therefore, the lowest common multiple of 676,204,243,171,645 is 11407591260.
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.
676 x 204 x 243 x 171 x 645 = 3696059568240
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
243 : 1, 3, 9, 27, 81, 243
171 : 1, 3, 9, 19, 57, 171
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 676,204,243,171,645, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
204:2x 2x 3x 17
243:3x 3x 3x 3x 3
171:3x 3x 19
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.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 3696059568240/(1x324)
LCM = 3696059568240/324
LCM = 11407591260
Thus, we can understand that the LCM of 676,204,243,171,645 is 11407591260.
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FAQs on LCM of 676, 204, 243, 171, 645
1. What is the LCM of 676, 204, 243, 171, 645?
Answer: LCM of 676, 204, 243, 171, 645 is 11407591260.
2. How to calculate the LCM of 676, 204, 243, 171, 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 676, 204, 243, 171, 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}.