Find the LCM of 874, 891, 745, 149 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, 891, 745, 149. So, keep reading to learn more.
Given numbers are 874,891,745,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,891,745,149 is 580156830.
Find LCM of 874,891,745,149 with Prime Factorization
149 | 874, 891, 745, 149 |
874, 891, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
149 x 874 x 891 x 5 x 1 = 580156830
Therefore, the lowest common multiple of 874,891,745,149 is 580156830.
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 891 x 745 x 149 = 86443367670
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
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
745 : 1, 5, 149, 745
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,891,745,149, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
891:3x 3x 3x 3x 11
745:5x 149
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 86443367670/(1x149)
LCM = 86443367670/149
LCM = 580156830
Thus, we can understand that the LCM of 874,891,745,149 is 580156830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 891, 745, 149?
Answer: LCM of 874, 891, 745, 149 is 580156830.
2. How to calculate the LCM of 874, 891, 745, 149?
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, 891, 745, 149.
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}.