Find the LCM of 721, 875, 371, 405 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 721, 875, 371, 405. So, keep reading to learn more.
Given numbers are 721,875,371,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,875,371,405 is 386906625.
Find LCM of 721,875,371,405 with Prime Factorization
5 | 721, 875, 371, 405 |
7 | 721, 175, 371, 81 |
103, 25, 53, 81 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 103 x 25 x 53 x 81 = 386906625
Therefore, the lowest common multiple of 721,875,371,405 is 386906625.
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.
721 x 875 x 371 x 405 = 94792123125
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.
721 : 1, 7, 103, 721
875 : 1, 5, 7, 25, 35, 125, 175, 875
371 : 1, 7, 53, 371
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,875,371,405, is 1.
Now, the common factors can be found like this.
721:7x 103
875:5x 5x 5x 7
371:7x 53
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 94792123125/(1x245)
LCM = 94792123125/245
LCM = 386906625
Thus, we can understand that the LCM of 721,875,371,405 is 386906625.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 875, 371, 405?
Answer: LCM of 721, 875, 371, 405 is 386906625.
2. How to calculate the LCM of 721, 875, 371, 405?
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 721, 875, 371, 405.
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}.