LCM of 683, 680, 212, 765, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 683, 680, 212, 765, 447 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 683, 680, 212, 765, 447. So, keep reading to learn more.
Given numbers are 683,680,212,765,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,680,212,765,447 is 33009144120.
Find LCM of 683,680,212,765,447 with Prime Factorization
| 2 | 683, 680, 212, 765, 447 |
| 2 | 683, 340, 106, 765, 447 |
| 3 | 683, 170, 53, 765, 447 |
| 5 | 683, 170, 53, 255, 149 |
| 17 | 683, 34, 53, 51, 149 |
| 683, 2, 53, 3, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 683 x 2 x 53 x 3 x 149 = 33009144120
Therefore, the lowest common multiple of 683,680,212,765,447 is 33009144120.
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.
683 x 680 x 212 x 765 x 447 = 33669327002400
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.
683 : 1, 683
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
212 : 1, 2, 4, 53, 106, 212
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,680,212,765,447, is 1.
Now, the common factors can be found like this.
683:683
680:2x 2x 2x 5x 17
212:2x 2x 53
765:3x 3x 5x 17
447:3x 149
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 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 33669327002400/(1x1020)
LCM = 33669327002400/1020
LCM = 33009144120
Thus, we can understand that the LCM of 683,680,212,765,447 is 33009144120.
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FAQs on LCM of 683, 680, 212, 765, 447
1. What is the LCM of 683, 680, 212, 765, 447?
Answer: LCM of 683, 680, 212, 765, 447 is 33009144120.
2. How to calculate the LCM of 683, 680, 212, 765, 447?
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 683, 680, 212, 765, 447.
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}.