Find the LCM of 341, 473, 146, 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 341, 473, 146, 405. So, keep reading to learn more.
Given numbers are 341,473,146,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,473,146,405 is 867023190.
Find LCM of 341,473,146,405 with Prime Factorization
11 | 341, 473, 146, 405 |
31, 43, 146, 405 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 43 x 146 x 405 = 867023190
Therefore, the lowest common multiple of 341,473,146,405 is 867023190.
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.
341 x 473 x 146 x 405 = 9537255090
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.
341 : 1, 11, 31, 341
473 : 1, 11, 43, 473
146 : 1, 2, 73, 146
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 341,473,146,405, is 1.
Now, the common factors can be found like this.
341:11x 31
473:11x 43
146:2x 73
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.
11 = 11
Therefore, the value for common factors is 11.
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 = 9537255090/(1x11)
LCM = 9537255090/11
LCM = 867023190
Thus, we can understand that the LCM of 341,473,146,405 is 867023190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 473, 146, 405?
Answer: LCM of 341, 473, 146, 405 is 867023190.
2. How to calculate the LCM of 341, 473, 146, 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 341, 473, 146, 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}.