Find the LCM of 171, 631, 970, 511, 110 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 171, 631, 970, 511, 110. So, keep reading to learn more.
Given numbers are 171,631,970,511,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,631,970,511,110 is 588316175370.
Find LCM of 171,631,970,511,110 with Prime Factorization
2 | 171, 631, 970, 511, 110 |
5 | 171, 631, 485, 511, 55 |
171, 631, 97, 511, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 171 x 631 x 97 x 511 x 11 = 588316175370
Therefore, the lowest common multiple of 171,631,970,511,110 is 588316175370.
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.
171 x 631 x 970 x 511 x 110 = 5883161753700
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.
171 : 1, 3, 9, 19, 57, 171
631 : 1, 631
970 : 1, 2, 5, 10, 97, 194, 485, 970
511 : 1, 7, 73, 511
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,631,970,511,110, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
631:631
970:2x 5x 97
511:7x 73
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 5883161753700/(1x10)
LCM = 5883161753700/10
LCM = 588316175370
Thus, we can understand that the LCM of 171,631,970,511,110 is 588316175370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 171, 631, 970, 511, 110?
Answer: LCM of 171, 631, 970, 511, 110 is 588316175370.
2. How to calculate the LCM of 171, 631, 970, 511, 110?
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 171, 631, 970, 511, 110.
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}.