Find the LCM of 952, 312, 231, 339, 636 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 952, 312, 231, 339, 636. So, keep reading to learn more.
Given numbers are 952,312,231,339,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,312,231,339,636 is 2445955512.
Find LCM of 952,312,231,339,636 with Prime Factorization
2 | 952, 312, 231, 339, 636 |
2 | 476, 156, 231, 339, 318 |
2 | 238, 78, 231, 339, 159 |
3 | 119, 39, 231, 339, 159 |
7 | 119, 13, 77, 113, 53 |
17, 13, 11, 113, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 13 x 11 x 113 x 53 = 2445955512
Therefore, the lowest common multiple of 952,312,231,339,636 is 2445955512.
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.
952 x 312 x 231 x 339 x 636 = 14793138936576
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
231 : 1, 3, 7, 11, 21, 33, 77, 231
339 : 1, 3, 113, 339
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,312,231,339,636, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
312:2x 2x 2x 3x 13
231:3x 7x 11
339:3x 113
636:2x 2x 3x 53
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 2x 2x 3x 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 14793138936576/(1x6048)
LCM = 14793138936576/6048
LCM = 2445955512
Thus, we can understand that the LCM of 952,312,231,339,636 is 2445955512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 312, 231, 339, 636?
Answer: LCM of 952, 312, 231, 339, 636 is 2445955512.
2. How to calculate the LCM of 952, 312, 231, 339, 636?
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 952, 312, 231, 339, 636.
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}.