Find the LCM of 119, 889, 635, 338 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 119, 889, 635, 338. So, keep reading to learn more.
Given numbers are 119,889,635,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,889,635,338 is 25540970.
Find LCM of 119,889,635,338 with Prime Factorization
7 | 119, 889, 635, 338 |
127 | 17, 127, 635, 338 |
17, 1, 5, 338 |
Multiply the prime numbers at the bottom and the left side.
7 x 127 x 17 x 1 x 5 x 338 = 25540970
Therefore, the lowest common multiple of 119,889,635,338 is 25540970.
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.
119 x 889 x 635 x 338 = 22705922330
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.
119 : 1, 7, 17, 119
889 : 1, 7, 127, 889
635 : 1, 5, 127, 635
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,889,635,338, is 1.
Now, the common factors can be found like this.
119:7x 17
889:7x 127
635:5x 127
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 127 = 889
Therefore, the value for common factors is 889.
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 = 22705922330/(1x889)
LCM = 22705922330/889
LCM = 25540970
Thus, we can understand that the LCM of 119,889,635,338 is 25540970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 119, 889, 635, 338?
Answer: LCM of 119, 889, 635, 338 is 25540970.
2. How to calculate the LCM of 119, 889, 635, 338?
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 119, 889, 635, 338.
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}.