Find the LCM of 155, 271, 697, 682, 341 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 155, 271, 697, 682, 341. So, keep reading to learn more.
Given numbers are 155,271,697,682,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,271,697,682,341 is 644104670.
Find LCM of 155,271,697,682,341 with Prime Factorization
11 | 155, 271, 697, 682, 341 |
31 | 155, 271, 697, 62, 31 |
5, 271, 697, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 5 x 271 x 697 x 2 x 1 = 644104670
Therefore, the lowest common multiple of 155,271,697,682,341 is 644104670.
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.
155 x 271 x 697 x 682 x 341 = 6808830466570
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.
155 : 1, 5, 31, 155
271 : 1, 271
697 : 1, 17, 41, 697
682 : 1, 2, 11, 22, 31, 62, 341, 682
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,271,697,682,341, is 1.
Now, the common factors can be found like this.
155:5x 31
271:271
697:17x 41
682:2x 11x 31
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31x 31 = 10571
Therefore, the value for common factors is 10571.
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 = 6808830466570/(1x10571)
LCM = 6808830466570/10571
LCM = 644104670
Thus, we can understand that the LCM of 155,271,697,682,341 is 644104670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 155, 271, 697, 682, 341?
Answer: LCM of 155, 271, 697, 682, 341 is 644104670.
2. How to calculate the LCM of 155, 271, 697, 682, 341?
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 155, 271, 697, 682, 341.
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}.