Find the LCM of 724, 404, 461, 187 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 724, 404, 461, 187. So, keep reading to learn more.
Given numbers are 724,404,461,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,404,461,187 is 6303800668.
Find LCM of 724,404,461,187 with Prime Factorization
2 | 724, 404, 461, 187 |
2 | 362, 202, 461, 187 |
181, 101, 461, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 101 x 461 x 187 = 6303800668
Therefore, the lowest common multiple of 724,404,461,187 is 6303800668.
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.
724 x 404 x 461 x 187 = 25215202672
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.
724 : 1, 2, 4, 181, 362, 724
404 : 1, 2, 4, 101, 202, 404
461 : 1, 461
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,404,461,187, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
404:2x 2x 101
461:461
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 25215202672/(1x4)
LCM = 25215202672/4
LCM = 6303800668
Thus, we can understand that the LCM of 724,404,461,187 is 6303800668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 404, 461, 187?
Answer: LCM of 724, 404, 461, 187 is 6303800668.
2. How to calculate the LCM of 724, 404, 461, 187?
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 724, 404, 461, 187.
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}.