Find the LCM of 397, 434, 770, 825, 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 397, 434, 770, 825, 403. So, keep reading to learn more.
Given numbers are 397,434,770,825,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,434,770,825,403 is 1847896050.
Find LCM of 397,434,770,825,403 with Prime Factorization
2 | 397, 434, 770, 825, 403 |
5 | 397, 217, 385, 825, 403 |
7 | 397, 217, 77, 165, 403 |
11 | 397, 31, 11, 165, 403 |
31 | 397, 31, 1, 15, 403 |
397, 1, 1, 15, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 31 x 397 x 1 x 1 x 15 x 13 = 1847896050
Therefore, the lowest common multiple of 397,434,770,825,403 is 1847896050.
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.
397 x 434 x 770 x 825 x 403 = 44109278713500
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.
397 : 1, 397
434 : 1, 2, 7, 14, 31, 62, 217, 434
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,434,770,825,403, is 1.
Now, the common factors can be found like this.
397:397
434:2x 7x 31
770:2x 5x 7x 11
825:3x 5x 5x 11
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.
2x 5x 7x 11x 31 = 23870
Therefore, the value for common factors is 23870.
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 = 44109278713500/(1x23870)
LCM = 44109278713500/23870
LCM = 1847896050
Thus, we can understand that the LCM of 397,434,770,825,403 is 1847896050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 434, 770, 825, 403?
Answer: LCM of 397, 434, 770, 825, 403 is 1847896050.
2. How to calculate the LCM of 397, 434, 770, 825, 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 397, 434, 770, 825, 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}.