Find the LCM of 39, 47, 78, 84, 319 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 39, 47, 78, 84, 319. So, keep reading to learn more.
Given numbers are 39,47,78,84,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 39,47,78,84,319 is 16372356.
Find LCM of 39,47,78,84,319 with Prime Factorization
2 | 39, 47, 78, 84, 319 |
3 | 39, 47, 39, 42, 319 |
13 | 13, 47, 13, 14, 319 |
1, 47, 1, 14, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 1 x 47 x 1 x 14 x 319 = 16372356
Therefore, the lowest common multiple of 39,47,78,84,319 is 16372356.
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.
39 x 47 x 78 x 84 x 319 = 3831131304
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.
39 : 1, 3, 13, 39
47 : 1, 47
78 : 1, 2, 3, 6, 13, 26, 39, 78
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 39,47,78,84,319, is 1.
Now, the common factors can be found like this.
39:3x 13
47:47
78:2x 3x 13
84:2x 2x 3x 7
319:11x 29
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 13 = 234
Therefore, the value for common factors is 234.
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 = 3831131304/(1x234)
LCM = 3831131304/234
LCM = 16372356
Thus, we can understand that the LCM of 39,47,78,84,319 is 16372356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 39, 47, 78, 84, 319?
Answer: LCM of 39, 47, 78, 84, 319 is 16372356.
2. How to calculate the LCM of 39, 47, 78, 84, 319?
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 39, 47, 78, 84, 319.
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}.