Find the LCM of 874, 906, 379, 774 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, 906, 379, 774. So, keep reading to learn more.
Given numbers are 874,906,379,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,906,379,774 is 19357022502.
Find LCM of 874,906,379,774 with Prime Factorization
2 | 874, 906, 379, 774 |
3 | 437, 453, 379, 387 |
437, 151, 379, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 437 x 151 x 379 x 129 = 19357022502
Therefore, the lowest common multiple of 874,906,379,774 is 19357022502.
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 906 x 379 x 774 = 232284270024
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
906 : 1, 2, 3, 6, 151, 302, 453, 906
379 : 1, 379
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,906,379,774, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
906:2x 3x 151
379:379
774:2x 3x 3x 43
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 3 = 12
Therefore, the value for common factors is 12.
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 = 232284270024/(1x12)
LCM = 232284270024/12
LCM = 19357022502
Thus, we can understand that the LCM of 874,906,379,774 is 19357022502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 906, 379, 774?
Answer: LCM of 874, 906, 379, 774 is 19357022502.
2. How to calculate the LCM of 874, 906, 379, 774?
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, 906, 379, 774.
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}.