Find the LCM of 313, 297, 897, 646, 902 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 313, 297, 897, 646, 902. So, keep reading to learn more.
Given numbers are 313,297,897,646,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,297,897,646,902 is 736187348754.
Find LCM of 313,297,897,646,902 with Prime Factorization
2 | 313, 297, 897, 646, 902 |
3 | 313, 297, 897, 323, 451 |
11 | 313, 99, 299, 323, 451 |
313, 9, 299, 323, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 313 x 9 x 299 x 323 x 41 = 736187348754
Therefore, the lowest common multiple of 313,297,897,646,902 is 736187348754.
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.
313 x 297 x 897 x 646 x 902 = 48588365017764
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.
313 : 1, 313
297 : 1, 3, 9, 11, 27, 33, 99, 297
897 : 1, 3, 13, 23, 39, 69, 299, 897
646 : 1, 2, 17, 19, 34, 38, 323, 646
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,297,897,646,902, is 1.
Now, the common factors can be found like this.
313:313
297:3x 3x 3x 11
897:3x 13x 23
646:2x 17x 19
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 48588365017764/(1x66)
LCM = 48588365017764/66
LCM = 736187348754
Thus, we can understand that the LCM of 313,297,897,646,902 is 736187348754.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 297, 897, 646, 902?
Answer: LCM of 313, 297, 897, 646, 902 is 736187348754.
2. How to calculate the LCM of 313, 297, 897, 646, 902?
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 313, 297, 897, 646, 902.
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}.