Find the LCM of 177, 190, 690, 337, 323 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, 190, 690, 337, 323. So, keep reading to learn more.
Given numbers are 177,190,690,337,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,190,690,337,323 is 4431324210.
Find LCM of 177,190,690,337,323 with Prime Factorization
2 | 177, 190, 690, 337, 323 |
3 | 177, 95, 345, 337, 323 |
5 | 59, 95, 115, 337, 323 |
19 | 59, 19, 23, 337, 323 |
59, 1, 23, 337, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 59 x 1 x 23 x 337 x 17 = 4431324210
Therefore, the lowest common multiple of 177,190,690,337,323 is 4431324210.
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 190 x 690 x 337 x 323 = 2525854799700
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
190 : 1, 2, 5, 10, 19, 38, 95, 190
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
337 : 1, 337
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,190,690,337,323, is 1.
Now, the common factors can be found like this.
177:3x 59
190:2x 5x 19
690:2x 3x 5x 23
337:337
323:17x 19
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 19 = 570
Therefore, the value for common factors is 570.
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 = 2525854799700/(1x570)
LCM = 2525854799700/570
LCM = 4431324210
Thus, we can understand that the LCM of 177,190,690,337,323 is 4431324210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 177, 190, 690, 337, 323?
Answer: LCM of 177, 190, 690, 337, 323 is 4431324210.
2. How to calculate the LCM of 177, 190, 690, 337, 323?
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, 190, 690, 337, 323.
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}.