Find the LCM of 874, 741, 604, 128 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, 741, 604, 128. So, keep reading to learn more.
Given numbers are 874,741,604,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,741,604,128 is 329407104.
Find LCM of 874,741,604,128 with Prime Factorization
2 | 874, 741, 604, 128 |
2 | 437, 741, 302, 64 |
19 | 437, 741, 151, 32 |
23, 39, 151, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 39 x 151 x 32 = 329407104
Therefore, the lowest common multiple of 874,741,604,128 is 329407104.
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 741 x 604 x 128 = 50069879808
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
604 : 1, 2, 4, 151, 302, 604
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,741,604,128, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
741:3x 13x 19
604:2x 2x 151
128:2x 2x 2x 2x 2x 2x 2
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 19 = 152
Therefore, the value for common factors is 152.
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 = 50069879808/(1x152)
LCM = 50069879808/152
LCM = 329407104
Thus, we can understand that the LCM of 874,741,604,128 is 329407104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 741, 604, 128?
Answer: LCM of 874, 741, 604, 128 is 329407104.
2. How to calculate the LCM of 874, 741, 604, 128?
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, 741, 604, 128.
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}.