Find the LCM of 398, 431, 744, 474, 519 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 398, 431, 744, 474, 519. So, keep reading to learn more.
Given numbers are 398,431,744,474,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,431,744,474,519 is 872120462712.
Find LCM of 398,431,744,474,519 with Prime Factorization
2 | 398, 431, 744, 474, 519 |
3 | 199, 431, 372, 237, 519 |
199, 431, 124, 79, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 431 x 124 x 79 x 173 = 872120462712
Therefore, the lowest common multiple of 398,431,744,474,519 is 872120462712.
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.
398 x 431 x 744 x 474 x 519 = 31396336657632
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.
398 : 1, 2, 199, 398
431 : 1, 431
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
474 : 1, 2, 3, 6, 79, 158, 237, 474
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,431,744,474,519, is 1.
Now, the common factors can be found like this.
398:2x 199
431:431
744:2x 2x 2x 3x 31
474:2x 3x 79
519:3x 173
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 = 31396336657632/(1x36)
LCM = 31396336657632/36
LCM = 872120462712
Thus, we can understand that the LCM of 398,431,744,474,519 is 872120462712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 431, 744, 474, 519?
Answer: LCM of 398, 431, 744, 474, 519 is 872120462712.
2. How to calculate the LCM of 398, 431, 744, 474, 519?
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 398, 431, 744, 474, 519.
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}.