Find the LCM of 106, 338, 955, 172, 743 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 106, 338, 955, 172, 743. So, keep reading to learn more.
Given numbers are 106,338,955,172,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,338,955,172,743 is 1093158677260.
Find LCM of 106,338,955,172,743 with Prime Factorization
2 | 106, 338, 955, 172, 743 |
53, 169, 955, 86, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 169 x 955 x 86 x 743 = 1093158677260
Therefore, the lowest common multiple of 106,338,955,172,743 is 1093158677260.
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.
106 x 338 x 955 x 172 x 743 = 4372634709040
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.
106 : 1, 2, 53, 106
338 : 1, 2, 13, 26, 169, 338
955 : 1, 5, 191, 955
172 : 1, 2, 4, 43, 86, 172
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,338,955,172,743, is 1.
Now, the common factors can be found like this.
106:2x 53
338:2x 13x 13
955:5x 191
172:2x 2x 43
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 4372634709040/(1x4)
LCM = 4372634709040/4
LCM = 1093158677260
Thus, we can understand that the LCM of 106,338,955,172,743 is 1093158677260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 106, 338, 955, 172, 743?
Answer: LCM of 106, 338, 955, 172, 743 is 1093158677260.
2. How to calculate the LCM of 106, 338, 955, 172, 743?
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 106, 338, 955, 172, 743.
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}.