LCM of 204, 440, 682, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 440, 682, 765 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 204, 440, 682, 765. So, keep reading to learn more.
Given numbers are 204,440,682,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,440,682,765 is 2086920.
Find LCM of 204,440,682,765 with Prime Factorization
| 2 | 204, 440, 682, 765 |
| 2 | 102, 220, 341, 765 |
| 3 | 51, 110, 341, 765 |
| 5 | 17, 110, 341, 255 |
| 11 | 17, 22, 341, 51 |
| 17 | 17, 2, 31, 51 |
| 1, 2, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 17 x 1 x 2 x 31 x 3 = 2086920
Therefore, the lowest common multiple of 204,440,682,765 is 2086920.
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.
204 x 440 x 682 x 765 = 46830484800
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
682 : 1, 2, 11, 22, 31, 62, 341, 682
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,440,682,765, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
440:2x 2x 2x 5x 11
682:2x 11x 31
765:3x 3x 5x 17
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 2x 3x 5x 11x 17 = 22440
Therefore, the value for common factors is 22440.
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 = 46830484800/(1x22440)
LCM = 46830484800/22440
LCM = 2086920
Thus, we can understand that the LCM of 204,440,682,765 is 2086920.
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FAQs on LCM of 204, 440, 682, 765
1. What is the LCM of 204, 440, 682, 765?
Answer: LCM of 204, 440, 682, 765 is 2086920.
2. How to calculate the LCM of 204, 440, 682, 765?
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 204, 440, 682, 765.
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}.