Find the LCM of 339, 190, 153, 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 339, 190, 153, 229. So, keep reading to learn more.
Given numbers are 339,190,153,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,190,153,229 is 752244390.
Find LCM of 339,190,153,229 with Prime Factorization
3 | 339, 190, 153, 229 |
113, 190, 51, 229 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 190 x 51 x 229 = 752244390
Therefore, the lowest common multiple of 339,190,153,229 is 752244390.
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.
339 x 190 x 153 x 229 = 2256733170
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.
339 : 1, 3, 113, 339
190 : 1, 2, 5, 10, 19, 38, 95, 190
153 : 1, 3, 9, 17, 51, 153
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,190,153,229, is 1.
Now, the common factors can be found like this.
339:3x 113
190:2x 5x 19
153:3x 3x 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.
3 = 3
Therefore, the value for common factors is 3.
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 = 2256733170/(1x3)
LCM = 2256733170/3
LCM = 752244390
Thus, we can understand that the LCM of 339,190,153,229 is 752244390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 190, 153, 229?
Answer: LCM of 339, 190, 153, 229 is 752244390.
2. How to calculate the LCM of 339, 190, 153, 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 339, 190, 153, 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}.