Find the LCM of 437, 923, 897, 278 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 437, 923, 897, 278. So, keep reading to learn more.
Given numbers are 437,923,897,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,923,897,278 is 336394734.
Find LCM of 437,923,897,278 with Prime Factorization
13 | 437, 923, 897, 278 |
23 | 437, 71, 69, 278 |
19, 71, 3, 278 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 19 x 71 x 3 x 278 = 336394734
Therefore, the lowest common multiple of 437,923,897,278 is 336394734.
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.
437 x 923 x 897 x 278 = 100582025466
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.
437 : 1, 19, 23, 437
923 : 1, 13, 71, 923
897 : 1, 3, 13, 23, 39, 69, 299, 897
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,923,897,278, is 1.
Now, the common factors can be found like this.
437:19x 23
923:13x 71
897:3x 13x 23
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 100582025466/(1x299)
LCM = 100582025466/299
LCM = 336394734
Thus, we can understand that the LCM of 437,923,897,278 is 336394734.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 923, 897, 278?
Answer: LCM of 437, 923, 897, 278 is 336394734.
2. How to calculate the LCM of 437, 923, 897, 278?
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 437, 923, 897, 278.
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}.