LCM of 425, 429, 845, 403, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 425, 429, 845, 403, 323 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 425, 429, 845, 403, 323. So, keep reading to learn more.
Given numbers are 425,429,845,403,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,429,845,403,323 is 1396062525.
Find LCM of 425,429,845,403,323 with Prime Factorization
| 5 | 425, 429, 845, 403, 323 |
| 13 | 85, 429, 169, 403, 323 |
| 17 | 85, 33, 13, 31, 323 |
| 5, 33, 13, 31, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 17 x 5 x 33 x 13 x 31 x 19 = 1396062525
Therefore, the lowest common multiple of 425,429,845,403,323 is 1396062525.
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.
425 x 429 x 845 x 403 x 323 = 20054438171625
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.
425 : 1, 5, 17, 25, 85, 425
429 : 1, 3, 11, 13, 33, 39, 143, 429
845 : 1, 5, 13, 65, 169, 845
403 : 1, 13, 31, 403
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,429,845,403,323, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
429:3x 11x 13
845:5x 13x 13
403:13x 31
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 13x 17 = 14365
Therefore, the value for common factors is 14365.
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 = 20054438171625/(1x14365)
LCM = 20054438171625/14365
LCM = 1396062525
Thus, we can understand that the LCM of 425,429,845,403,323 is 1396062525.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 425, 429, 845, 403, 323
1. What is the LCM of 425, 429, 845, 403, 323?
Answer: LCM of 425, 429, 845, 403, 323 is 1396062525.
2. How to calculate the LCM of 425, 429, 845, 403, 323?
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 425, 429, 845, 403, 323.
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}.