Find the LCM of 813, 432, 354, 634, 397 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 813, 432, 354, 634, 397. So, keep reading to learn more.
Given numbers are 813,432,354,634,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,432,354,634,397 is 869270253552.
Find LCM of 813,432,354,634,397 with Prime Factorization
2 | 813, 432, 354, 634, 397 |
3 | 813, 216, 177, 317, 397 |
271, 72, 59, 317, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 72 x 59 x 317 x 397 = 869270253552
Therefore, the lowest common multiple of 813,432,354,634,397 is 869270253552.
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.
813 x 432 x 354 x 634 x 397 = 31293729127872
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.
813 : 1, 3, 271, 813
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
354 : 1, 2, 3, 6, 59, 118, 177, 354
634 : 1, 2, 317, 634
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,432,354,634,397, is 1.
Now, the common factors can be found like this.
813:3x 271
432:2x 2x 2x 2x 3x 3x 3
354:2x 3x 59
634:2x 317
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 31293729127872/(1x36)
LCM = 31293729127872/36
LCM = 869270253552
Thus, we can understand that the LCM of 813,432,354,634,397 is 869270253552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 432, 354, 634, 397?
Answer: LCM of 813, 432, 354, 634, 397 is 869270253552.
2. How to calculate the LCM of 813, 432, 354, 634, 397?
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 813, 432, 354, 634, 397.
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}.