Find the LCM of 447, 646, 918, 175, 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 447, 646, 918, 175, 897. So, keep reading to learn more.
Given numbers are 447,646,918,175,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,646,918,175,897 is 135985244850.
Find LCM of 447,646,918,175,897 with Prime Factorization
2 | 447, 646, 918, 175, 897 |
3 | 447, 323, 459, 175, 897 |
17 | 149, 323, 153, 175, 299 |
149, 19, 9, 175, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 149 x 19 x 9 x 175 x 299 = 135985244850
Therefore, the lowest common multiple of 447,646,918,175,897 is 135985244850.
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.
447 x 646 x 918 x 175 x 897 = 41611484924100
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.
447 : 1, 3, 149, 447
646 : 1, 2, 17, 19, 34, 38, 323, 646
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
175 : 1, 5, 7, 25, 35, 175
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,646,918,175,897, is 1.
Now, the common factors can be found like this.
447:3x 149
646:2x 17x 19
918:2x 3x 3x 3x 17
175:5x 5x 7
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.
2x 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 41611484924100/(1x306)
LCM = 41611484924100/306
LCM = 135985244850
Thus, we can understand that the LCM of 447,646,918,175,897 is 135985244850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 646, 918, 175, 897?
Answer: LCM of 447, 646, 918, 175, 897 is 135985244850.
2. How to calculate the LCM of 447, 646, 918, 175, 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 447, 646, 918, 175, 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}.