Find the LCM of 931, 173, 541, 133, 133 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 931, 173, 541, 133, 133. So, keep reading to learn more.
Given numbers are 931,173,541,133,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,173,541,133,133 is 87135083.
Find LCM of 931,173,541,133,133 with Prime Factorization
7 | 931, 173, 541, 133, 133 |
19 | 133, 173, 541, 19, 19 |
7, 173, 541, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 7 x 173 x 541 x 1 x 1 = 87135083
Therefore, the lowest common multiple of 931,173,541,133,133 is 87135083.
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.
931 x 173 x 541 x 133 x 133 = 1541332483187
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.
931 : 1, 7, 19, 49, 133, 931
173 : 1, 173
541 : 1, 541
133 : 1, 7, 19, 133
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,173,541,133,133, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
173:173
541:541
133:7x 19
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 19x 19 = 17689
Therefore, the value for common factors is 17689.
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 = 1541332483187/(1x17689)
LCM = 1541332483187/17689
LCM = 87135083
Thus, we can understand that the LCM of 931,173,541,133,133 is 87135083.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 173, 541, 133, 133?
Answer: LCM of 931, 173, 541, 133, 133 is 87135083.
2. How to calculate the LCM of 931, 173, 541, 133, 133?
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 931, 173, 541, 133, 133.
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}.