Find the LCM of 155, 107, 214, 993, 952 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 155, 107, 214, 993, 952. So, keep reading to learn more.
Given numbers are 155,107,214,993,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,107,214,993,952 is 15678397560.
Find LCM of 155,107,214,993,952 with Prime Factorization
2 | 155, 107, 214, 993, 952 |
107 | 155, 107, 107, 993, 476 |
155, 1, 1, 993, 476 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 155 x 1 x 1 x 993 x 476 = 15678397560
Therefore, the lowest common multiple of 155,107,214,993,952 is 15678397560.
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.
155 x 107 x 214 x 993 x 952 = 3355177077840
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.
155 : 1, 5, 31, 155
107 : 1, 107
214 : 1, 2, 107, 214
993 : 1, 3, 331, 993
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,107,214,993,952, is 1.
Now, the common factors can be found like this.
155:5x 31
107:107
214:2x 107
993:3x 331
952:2x 2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 107 = 214
Therefore, the value for common factors is 214.
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 = 3355177077840/(1x214)
LCM = 3355177077840/214
LCM = 15678397560
Thus, we can understand that the LCM of 155,107,214,993,952 is 15678397560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 155, 107, 214, 993, 952?
Answer: LCM of 155, 107, 214, 993, 952 is 15678397560.
2. How to calculate the LCM of 155, 107, 214, 993, 952?
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 155, 107, 214, 993, 952.
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}.