Find the LCM of 119, 394, 952, 164 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, 394, 952, 164. So, keep reading to learn more.
Given numbers are 119,394,952,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,394,952,164 is 7689304.
Find LCM of 119,394,952,164 with Prime Factorization
2 | 119, 394, 952, 164 |
2 | 119, 197, 476, 82 |
7 | 119, 197, 238, 41 |
17 | 17, 197, 34, 41 |
1, 197, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 1 x 197 x 2 x 41 = 7689304
Therefore, the lowest common multiple of 119,394,952,164 is 7689304.
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 394 x 952 x 164 = 7320217408
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
394 : 1, 2, 197, 394
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,394,952,164, is 1.
Now, the common factors can be found like this.
119:7x 17
394:2x 197
952:2x 2x 2x 7x 17
164:2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 7320217408/(1x952)
LCM = 7320217408/952
LCM = 7689304
Thus, we can understand that the LCM of 119,394,952,164 is 7689304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 119, 394, 952, 164?
Answer: LCM of 119, 394, 952, 164 is 7689304.
2. How to calculate the LCM of 119, 394, 952, 164?
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, 394, 952, 164.
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}.