LCM of 845, 923, 975, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 923, 975, 345 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 845, 923, 975, 345. So, keep reading to learn more.
Given numbers are 845,923,975,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,923,975,345 is 20698275.
Find LCM of 845,923,975,345 with Prime Factorization
| 3 | 845, 923, 975, 345 |
| 5 | 845, 923, 325, 115 |
| 13 | 169, 923, 65, 23 |
| 13, 71, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 13 x 71 x 5 x 23 = 20698275
Therefore, the lowest common multiple of 845,923,975,345 is 20698275.
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.
845 x 923 x 975 x 345 = 262350635625
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.
845 : 1, 5, 13, 65, 169, 845
923 : 1, 13, 71, 923
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,923,975,345, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
923:13x 71
975:3x 5x 5x 13
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 13x 13 = 12675
Therefore, the value for common factors is 12675.
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 = 262350635625/(1x12675)
LCM = 262350635625/12675
LCM = 20698275
Thus, we can understand that the LCM of 845,923,975,345 is 20698275.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 923, 975, 345
1. What is the LCM of 845, 923, 975, 345?
Answer: LCM of 845, 923, 975, 345 is 20698275.
2. How to calculate the LCM of 845, 923, 975, 345?
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 845, 923, 975, 345.
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}.