Find the LCM of 741, 458, 458, 149 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 741, 458, 458, 149. So, keep reading to learn more.
Given numbers are 741,458,458,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,458,458,149 is 50567322.
Find LCM of 741,458,458,149 with Prime Factorization
2 | 741, 458, 458, 149 |
229 | 741, 229, 229, 149 |
741, 1, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 229 x 741 x 1 x 1 x 149 = 50567322
Therefore, the lowest common multiple of 741,458,458,149 is 50567322.
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.
741 x 458 x 458 x 149 = 23159833476
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
458 : 1, 2, 229, 458
458 : 1, 2, 229, 458
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,458,458,149, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
458:2x 229
458:2x 229
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 229 = 458
Therefore, the value for common factors is 458.
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 = 23159833476/(1x458)
LCM = 23159833476/458
LCM = 50567322
Thus, we can understand that the LCM of 741,458,458,149 is 50567322.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 458, 458, 149?
Answer: LCM of 741, 458, 458, 149 is 50567322.
2. How to calculate the LCM of 741, 458, 458, 149?
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 741, 458, 458, 149.
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}.