Find the LCM of 834, 741, 874, 741 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 834, 741, 874, 741. So, keep reading to learn more.
Given numbers are 834,741,874,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,741,874,741 is 4737954.
Find LCM of 834,741,874,741 with Prime Factorization
2 | 834, 741, 874, 741 |
3 | 417, 741, 437, 741 |
13 | 139, 247, 437, 247 |
19 | 139, 19, 437, 19 |
139, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 139 x 1 x 23 x 1 = 4737954
Therefore, the lowest common multiple of 834,741,874,741 is 4737954.
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.
834 x 741 x 874 x 741 = 400233926196
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
741 : 1, 3, 13, 19, 39, 57, 247, 741
874 : 1, 2, 19, 23, 38, 46, 437, 874
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,741,874,741, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
741:3x 13x 19
874:2x 19x 23
741:3x 13x 19
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 13x 19x 19 = 84474
Therefore, the value for common factors is 84474.
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 = 400233926196/(1x84474)
LCM = 400233926196/84474
LCM = 4737954
Thus, we can understand that the LCM of 834,741,874,741 is 4737954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 741, 874, 741?
Answer: LCM of 834, 741, 874, 741 is 4737954.
2. How to calculate the LCM of 834, 741, 874, 741?
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 834, 741, 874, 741.
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}.