LCM of 787, 206, 620, 504, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 206, 620, 504, 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 787, 206, 620, 504, 447. So, keep reading to learn more.
Given numbers are 787,206,620,504,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,206,620,504,447 is 943540312680.
Find LCM of 787,206,620,504,447 with Prime Factorization
| 2 | 787, 206, 620, 504, 447 |
| 2 | 787, 103, 310, 252, 447 |
| 3 | 787, 103, 155, 126, 447 |
| 787, 103, 155, 42, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 787 x 103 x 155 x 42 x 149 = 943540312680
Therefore, the lowest common multiple of 787,206,620,504,447 is 943540312680.
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.
787 x 206 x 620 x 504 x 447 = 22644967504320
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.
787 : 1, 787
206 : 1, 2, 103, 206
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,206,620,504,447, is 1.
Now, the common factors can be found like this.
787:787
206:2x 103
620:2x 2x 5x 31
504:2x 2x 2x 3x 3x 7
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 22644967504320/(1x24)
LCM = 22644967504320/24
LCM = 943540312680
Thus, we can understand that the LCM of 787,206,620,504,447 is 943540312680.
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FAQs on LCM of 787, 206, 620, 504, 447
1. What is the LCM of 787, 206, 620, 504, 447?
Answer: LCM of 787, 206, 620, 504, 447 is 943540312680.
2. How to calculate the LCM of 787, 206, 620, 504, 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 787, 206, 620, 504, 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}.