Find the LCM of 825, 397, 794, 403 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 825, 397, 794, 403. So, keep reading to learn more.
Given numbers are 825,397,794,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,397,794,403 is 263985150.
Find LCM of 825,397,794,403 with Prime Factorization
397 | 825, 397, 794, 403 |
825, 1, 2, 403 |
Multiply the prime numbers at the bottom and the left side.
397 x 825 x 1 x 2 x 403 = 263985150
Therefore, the lowest common multiple of 825,397,794,403 is 263985150.
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.
825 x 397 x 794 x 403 = 104802104550
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
397 : 1, 397
794 : 1, 2, 397, 794
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,397,794,403, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
397:397
794:2x 397
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
397 = 397
Therefore, the value for common factors is 397.
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 = 104802104550/(1x397)
LCM = 104802104550/397
LCM = 263985150
Thus, we can understand that the LCM of 825,397,794,403 is 263985150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 397, 794, 403?
Answer: LCM of 825, 397, 794, 403 is 263985150.
2. How to calculate the LCM of 825, 397, 794, 403?
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 825, 397, 794, 403.
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}.