Find the LCM of 437, 339, 475, 824 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, 339, 475, 824. So, keep reading to learn more.
Given numbers are 437,339,475,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,339,475,824 is 3051745800.
Find LCM of 437,339,475,824 with Prime Factorization
19 | 437, 339, 475, 824 |
23, 339, 25, 824 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 339 x 25 x 824 = 3051745800
Therefore, the lowest common multiple of 437,339,475,824 is 3051745800.
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 339 x 475 x 824 = 57983170200
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
339 : 1, 3, 113, 339
475 : 1, 5, 19, 25, 95, 475
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,339,475,824, is 1.
Now, the common factors can be found like this.
437:19x 23
339:3x 113
475:5x 5x 19
824:2x 2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 57983170200/(1x19)
LCM = 57983170200/19
LCM = 3051745800
Thus, we can understand that the LCM of 437,339,475,824 is 3051745800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 339, 475, 824?
Answer: LCM of 437, 339, 475, 824 is 3051745800.
2. How to calculate the LCM of 437, 339, 475, 824?
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, 339, 475, 824.
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}.