Find the LCM of 189, 855, 519, 765, 932 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 189, 855, 519, 765, 932. So, keep reading to learn more.
Given numbers are 189,855,519,765,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,855,519,765,932 is 49214870460.
Find LCM of 189,855,519,765,932 with Prime Factorization
3 | 189, 855, 519, 765, 932 |
3 | 63, 285, 173, 255, 932 |
5 | 21, 95, 173, 85, 932 |
21, 19, 173, 17, 932 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 21 x 19 x 173 x 17 x 932 = 49214870460
Therefore, the lowest common multiple of 189,855,519,765,932 is 49214870460.
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.
189 x 855 x 519 x 765 x 932 = 59796067608900
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
519 : 1, 3, 173, 519
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,855,519,765,932, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
855:3x 3x 5x 19
519:3x 173
765:3x 3x 5x 17
932:2x 2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5 = 1215
Therefore, the value for common factors is 1215.
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 = 59796067608900/(1x1215)
LCM = 59796067608900/1215
LCM = 49214870460
Thus, we can understand that the LCM of 189,855,519,765,932 is 49214870460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 189, 855, 519, 765, 932?
Answer: LCM of 189, 855, 519, 765, 932 is 49214870460.
2. How to calculate the LCM of 189, 855, 519, 765, 932?
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 189, 855, 519, 765, 932.
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}.