Find the LCM of 971, 345, 275, 999, 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 971, 345, 275, 999, 405. So, keep reading to learn more.
Given numbers are 971,345,275,999,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,345,275,999,405 is 18406300275.
Find LCM of 971,345,275,999,405 with Prime Factorization
3 | 971, 345, 275, 999, 405 |
3 | 971, 115, 275, 333, 135 |
3 | 971, 115, 275, 111, 45 |
5 | 971, 115, 275, 37, 15 |
971, 23, 55, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 971 x 23 x 55 x 37 x 3 = 18406300275
Therefore, the lowest common multiple of 971,345,275,999,405 is 18406300275.
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.
971 x 345 x 275 x 999 x 405 = 37272758056875
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.
971 : 1, 971
345 : 1, 3, 5, 15, 23, 69, 115, 345
275 : 1, 5, 11, 25, 55, 275
999 : 1, 3, 9, 27, 37, 111, 333, 999
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 971,345,275,999,405, is 1.
Now, the common factors can be found like this.
971:971
345:3x 5x 23
275:5x 5x 11
999:3x 3x 3x 37
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.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 37272758056875/(1x2025)
LCM = 37272758056875/2025
LCM = 18406300275
Thus, we can understand that the LCM of 971,345,275,999,405 is 18406300275.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 345, 275, 999, 405?
Answer: LCM of 971, 345, 275, 999, 405 is 18406300275.
2. How to calculate the LCM of 971, 345, 275, 999, 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 971, 345, 275, 999, 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}.