Find the LCM of 115, 338, 989, 387 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 115, 338, 989, 387. So, keep reading to learn more.
Given numbers are 115,338,989,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,338,989,387 is 15042690.
Find LCM of 115,338,989,387 with Prime Factorization
23 | 115, 338, 989, 387 |
43 | 5, 338, 43, 387 |
5, 338, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 5 x 338 x 1 x 9 = 15042690
Therefore, the lowest common multiple of 115,338,989,387 is 15042690.
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.
115 x 338 x 989 x 387 = 14877220410
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.
115 : 1, 5, 23, 115
338 : 1, 2, 13, 26, 169, 338
989 : 1, 23, 43, 989
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,338,989,387, is 1.
Now, the common factors can be found like this.
115:5x 23
338:2x 13x 13
989:23x 43
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 43 = 989
Therefore, the value for common factors is 989.
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 = 14877220410/(1x989)
LCM = 14877220410/989
LCM = 15042690
Thus, we can understand that the LCM of 115,338,989,387 is 15042690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 115, 338, 989, 387?
Answer: LCM of 115, 338, 989, 387 is 15042690.
2. How to calculate the LCM of 115, 338, 989, 387?
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 115, 338, 989, 387.
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}.