Find the LCM of 154, 401, 950, 949, 247 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 154, 401, 950, 949, 247. So, keep reading to learn more.
Given numbers are 154,401,950,949,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,401,950,949,247 is 27837159350.
Find LCM of 154,401,950,949,247 with Prime Factorization
2 | 154, 401, 950, 949, 247 |
13 | 77, 401, 475, 949, 247 |
19 | 77, 401, 475, 73, 19 |
77, 401, 25, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 77 x 401 x 25 x 73 x 1 = 27837159350
Therefore, the lowest common multiple of 154,401,950,949,247 is 27837159350.
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.
154 x 401 x 950 x 949 x 247 = 13751556718900
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
401 : 1, 401
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
949 : 1, 13, 73, 949
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,401,950,949,247, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
401:401
950:2x 5x 5x 19
949:13x 73
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 13751556718900/(1x494)
LCM = 13751556718900/494
LCM = 27837159350
Thus, we can understand that the LCM of 154,401,950,949,247 is 27837159350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 401, 950, 949, 247?
Answer: LCM of 154, 401, 950, 949, 247 is 27837159350.
2. How to calculate the LCM of 154, 401, 950, 949, 247?
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 154, 401, 950, 949, 247.
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}.