Find the LCM of 380, 922, 671, 173 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 380, 922, 671, 173. So, keep reading to learn more.
Given numbers are 380,922,671,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,922,671,173 is 20335419940.
Find LCM of 380,922,671,173 with Prime Factorization
2 | 380, 922, 671, 173 |
190, 461, 671, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 190 x 461 x 671 x 173 = 20335419940
Therefore, the lowest common multiple of 380,922,671,173 is 20335419940.
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.
380 x 922 x 671 x 173 = 40670839880
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
922 : 1, 2, 461, 922
671 : 1, 11, 61, 671
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,922,671,173, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
922:2x 461
671:11x 61
173:173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 40670839880/(1x2)
LCM = 40670839880/2
LCM = 20335419940
Thus, we can understand that the LCM of 380,922,671,173 is 20335419940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 922, 671, 173?
Answer: LCM of 380, 922, 671, 173 is 20335419940.
2. How to calculate the LCM of 380, 922, 671, 173?
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 380, 922, 671, 173.
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}.