Find the LCM of 874, 538, 928, 889, 339 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 874, 538, 928, 889, 339. So, keep reading to learn more.
Given numbers are 874,538,928,889,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,538,928,889,339 is 32876316471264.
Find LCM of 874,538,928,889,339 with Prime Factorization
2 | 874, 538, 928, 889, 339 |
437, 269, 464, 889, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 437 x 269 x 464 x 889 x 339 = 32876316471264
Therefore, the lowest common multiple of 874,538,928,889,339 is 32876316471264.
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.
874 x 538 x 928 x 889 x 339 = 131505265885056
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
538 : 1, 2, 269, 538
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
889 : 1, 7, 127, 889
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,538,928,889,339, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
538:2x 269
928:2x 2x 2x 2x 2x 29
889:7x 127
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 131505265885056/(1x4)
LCM = 131505265885056/4
LCM = 32876316471264
Thus, we can understand that the LCM of 874,538,928,889,339 is 32876316471264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 538, 928, 889, 339?
Answer: LCM of 874, 538, 928, 889, 339 is 32876316471264.
2. How to calculate the LCM of 874, 538, 928, 889, 339?
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 874, 538, 928, 889, 339.
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}.