Find the LCM of 949, 949, 377, 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 949, 949, 377, 173. So, keep reading to learn more.
Given numbers are 949,949,377,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,949,377,173 is 4761133.
Find LCM of 949,949,377,173 with Prime Factorization
13 | 949, 949, 377, 173 |
73 | 73, 73, 29, 173 |
1, 1, 29, 173 |
Multiply the prime numbers at the bottom and the left side.
13 x 73 x 1 x 1 x 29 x 173 = 4761133
Therefore, the lowest common multiple of 949,949,377,173 is 4761133.
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.
949 x 949 x 377 x 173 = 58738097821
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.
949 : 1, 13, 73, 949
949 : 1, 13, 73, 949
377 : 1, 13, 29, 377
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,949,377,173, is 1.
Now, the common factors can be found like this.
949:13x 73
949:13x 73
377:13x 29
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.
13x 13x 73 = 12337
Therefore, the value for common factors is 12337.
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 = 58738097821/(1x12337)
LCM = 58738097821/12337
LCM = 4761133
Thus, we can understand that the LCM of 949,949,377,173 is 4761133.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 949, 949, 377, 173?
Answer: LCM of 949, 949, 377, 173 is 4761133.
2. How to calculate the LCM of 949, 949, 377, 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 949, 949, 377, 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}.