Find the LCM of 363, 913, 367, 170, 229 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 363, 913, 367, 170, 229. So, keep reading to learn more.
Given numbers are 363,913,367,170,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,913,367,170,229 is 430462362990.
Find LCM of 363,913,367,170,229 with Prime Factorization
11 | 363, 913, 367, 170, 229 |
33, 83, 367, 170, 229 |
Multiply the prime numbers at the bottom and the left side.
11 x 33 x 83 x 367 x 170 x 229 = 430462362990
Therefore, the lowest common multiple of 363,913,367,170,229 is 430462362990.
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.
363 x 913 x 367 x 170 x 229 = 4735085992890
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.
363 : 1, 3, 11, 33, 121, 363
913 : 1, 11, 83, 913
367 : 1, 367
170 : 1, 2, 5, 10, 17, 34, 85, 170
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,913,367,170,229, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
913:11x 83
367:367
170:2x 5x 17
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 4735085992890/(1x11)
LCM = 4735085992890/11
LCM = 430462362990
Thus, we can understand that the LCM of 363,913,367,170,229 is 430462362990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 913, 367, 170, 229?
Answer: LCM of 363, 913, 367, 170, 229 is 430462362990.
2. How to calculate the LCM of 363, 913, 367, 170, 229?
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 363, 913, 367, 170, 229.
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}.