Find the LCM of 319, 837, 401, 401, 176 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 319, 837, 401, 401, 176. So, keep reading to learn more.
Given numbers are 319,837,401,401,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,837,401,401,176 is 1713091248.
Find LCM of 319,837,401,401,176 with Prime Factorization
11 | 319, 837, 401, 401, 176 |
401 | 29, 837, 401, 401, 16 |
29, 837, 1, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
11 x 401 x 29 x 837 x 1 x 1 x 16 = 1713091248
Therefore, the lowest common multiple of 319,837,401,401,176 is 1713091248.
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.
319 x 837 x 401 x 401 x 176 = 7556445494928
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.
319 : 1, 11, 29, 319
837 : 1, 3, 9, 27, 31, 93, 279, 837
401 : 1, 401
401 : 1, 401
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,837,401,401,176, is 1.
Now, the common factors can be found like this.
319:11x 29
837:3x 3x 3x 31
401:401
401:401
176:2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 401 = 4411
Therefore, the value for common factors is 4411.
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 = 7556445494928/(1x4411)
LCM = 7556445494928/4411
LCM = 1713091248
Thus, we can understand that the LCM of 319,837,401,401,176 is 1713091248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 837, 401, 401, 176?
Answer: LCM of 319, 837, 401, 401, 176 is 1713091248.
2. How to calculate the LCM of 319, 837, 401, 401, 176?
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 319, 837, 401, 401, 176.
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}.