Find the LCM of 363, 681, 312, 897 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 363, 681, 312, 897. So, keep reading to learn more.
Given numbers are 363,681,312,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,681,312,897 is 197103192.
Find LCM of 363,681,312,897 with Prime Factorization
3 | 363, 681, 312, 897 |
13 | 121, 227, 104, 299 |
121, 227, 8, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 121 x 227 x 8 x 23 = 197103192
Therefore, the lowest common multiple of 363,681,312,897 is 197103192.
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.
363 x 681 x 312 x 897 = 69183220392
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.
363 : 1, 3, 11, 33, 121, 363
681 : 1, 3, 227, 681
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
897 : 1, 3, 13, 23, 39, 69, 299, 897
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,681,312,897, is 3.
Now, the common factors can be found like this.
363:3x 11x 11
681:3x 227
312:2x 2x 2x 3x 13
897:3x 13x 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 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 69183220392/(3x117)
LCM = 69183220392/351
LCM = 197103192
Thus, we can understand that the LCM of 363,681,312,897 is 197103192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 681, 312, 897?
Answer: LCM of 363, 681, 312, 897 is 197103192.
2. How to calculate the LCM of 363, 681, 312, 897?
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 363, 681, 312, 897.
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}.