Find the LCM of 439, 780, 332, 975, 874 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 439, 780, 332, 975, 874. So, keep reading to learn more.
Given numbers are 439,780,332,975,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,780,332,975,874 is 62099579100.
Find LCM of 439,780,332,975,874 with Prime Factorization
2 | 439, 780, 332, 975, 874 |
2 | 439, 390, 166, 975, 437 |
3 | 439, 195, 83, 975, 437 |
5 | 439, 65, 83, 325, 437 |
13 | 439, 13, 83, 65, 437 |
439, 1, 83, 5, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 439 x 1 x 83 x 5 x 437 = 62099579100
Therefore, the lowest common multiple of 439,780,332,975,874 is 62099579100.
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.
439 x 780 x 332 x 975 x 874 = 96875343396000
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.
439 : 1, 439
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
332 : 1, 2, 4, 83, 166, 332
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,780,332,975,874, is 1.
Now, the common factors can be found like this.
439:439
780:2x 2x 3x 5x 13
332:2x 2x 83
975:3x 5x 5x 13
874:2x 19x 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 2x 2x 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 96875343396000/(1x1560)
LCM = 96875343396000/1560
LCM = 62099579100
Thus, we can understand that the LCM of 439,780,332,975,874 is 62099579100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 780, 332, 975, 874?
Answer: LCM of 439, 780, 332, 975, 874 is 62099579100.
2. How to calculate the LCM of 439, 780, 332, 975, 874?
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 439, 780, 332, 975, 874.
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}.