Find the LCM of 319, 771, 157, 999, 514 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 319, 771, 157, 999, 514. So, keep reading to learn more.
Given numbers are 319,771,157,999,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,771,157,999,514 is 25716919338.
Find LCM of 319,771,157,999,514 with Prime Factorization
3 | 319, 771, 157, 999, 514 |
257 | 319, 257, 157, 333, 514 |
319, 1, 157, 333, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 257 x 319 x 1 x 157 x 333 x 2 = 25716919338
Therefore, the lowest common multiple of 319,771,157,999,514 is 25716919338.
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.
319 x 771 x 157 x 999 x 514 = 19827744809598
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.
319 : 1, 11, 29, 319
771 : 1, 3, 257, 771
157 : 1, 157
999 : 1, 3, 9, 27, 37, 111, 333, 999
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,771,157,999,514, is 1.
Now, the common factors can be found like this.
319:11x 29
771:3x 257
157:157
999:3x 3x 3x 37
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 257 = 771
Therefore, the value for common factors is 771.
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 = 19827744809598/(1x771)
LCM = 19827744809598/771
LCM = 25716919338
Thus, we can understand that the LCM of 319,771,157,999,514 is 25716919338.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 771, 157, 999, 514?
Answer: LCM of 319, 771, 157, 999, 514 is 25716919338.
2. How to calculate the LCM of 319, 771, 157, 999, 514?
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 319, 771, 157, 999, 514.
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}.