Find the LCM of 177, 685, 481, 988, 390 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 177, 685, 481, 988, 390. So, keep reading to learn more.
Given numbers are 177,685,481,988,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,685,481,988,390 is 4432232220.
Find LCM of 177,685,481,988,390 with Prime Factorization
2 | 177, 685, 481, 988, 390 |
3 | 177, 685, 481, 494, 195 |
5 | 59, 685, 481, 494, 65 |
13 | 59, 137, 481, 494, 13 |
59, 137, 37, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 59 x 137 x 37 x 38 x 1 = 4432232220
Therefore, the lowest common multiple of 177,685,481,988,390 is 4432232220.
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.
177 x 685 x 481 x 988 x 390 = 22471417355400
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.
177 : 1, 3, 59, 177
685 : 1, 5, 137, 685
481 : 1, 13, 37, 481
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,685,481,988,390, is 1.
Now, the common factors can be found like this.
177:3x 59
685:5x 137
481:13x 37
988:2x 2x 13x 19
390:2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13x 13 = 5070
Therefore, the value for common factors is 5070.
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 = 22471417355400/(1x5070)
LCM = 22471417355400/5070
LCM = 4432232220
Thus, we can understand that the LCM of 177,685,481,988,390 is 4432232220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 177, 685, 481, 988, 390?
Answer: LCM of 177, 685, 481, 988, 390 is 4432232220.
2. How to calculate the LCM of 177, 685, 481, 988, 390?
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 177, 685, 481, 988, 390.
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}.