Find the LCM of 145, 713, 713, 285, 292 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 145, 713, 713, 285, 292. So, keep reading to learn more.
Given numbers are 145,713,713,285,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,713,713,285,292 is 1720739940.
Find LCM of 145,713,713,285,292 with Prime Factorization
5 | 145, 713, 713, 285, 292 |
23 | 29, 713, 713, 57, 292 |
31 | 29, 31, 31, 57, 292 |
29, 1, 1, 57, 292 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 31 x 29 x 1 x 1 x 57 x 292 = 1720739940
Therefore, the lowest common multiple of 145,713,713,285,292 is 1720739940.
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.
145 x 713 x 713 x 285 x 292 = 6134437886100
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.
145 : 1, 5, 29, 145
713 : 1, 23, 31, 713
713 : 1, 23, 31, 713
285 : 1, 3, 5, 15, 19, 57, 95, 285
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,713,713,285,292, is 1.
Now, the common factors can be found like this.
145:5x 29
713:23x 31
713:23x 31
285:3x 5x 19
292:2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23x 31 = 3565
Therefore, the value for common factors is 3565.
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 = 6134437886100/(1x3565)
LCM = 6134437886100/3565
LCM = 1720739940
Thus, we can understand that the LCM of 145,713,713,285,292 is 1720739940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 145, 713, 713, 285, 292?
Answer: LCM of 145, 713, 713, 285, 292 is 1720739940.
2. How to calculate the LCM of 145, 713, 713, 285, 292?
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 145, 713, 713, 285, 292.
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}.