Find the LCM of 746, 468, 888, 481, 137 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 746, 468, 888, 481, 137. So, keep reading to learn more.
Given numbers are 746,468,888,481,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,468,888,481,137 is 1769729832.
Find LCM of 746,468,888,481,137 with Prime Factorization
2 | 746, 468, 888, 481, 137 |
2 | 373, 234, 444, 481, 137 |
3 | 373, 117, 222, 481, 137 |
13 | 373, 39, 74, 481, 137 |
37 | 373, 3, 74, 37, 137 |
373, 3, 2, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 37 x 373 x 3 x 2 x 1 x 137 = 1769729832
Therefore, the lowest common multiple of 746,468,888,481,137 is 1769729832.
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.
746 x 468 x 888 x 481 x 137 = 20429761180608
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.
746 : 1, 2, 373, 746
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
481 : 1, 13, 37, 481
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,468,888,481,137, is 1.
Now, the common factors can be found like this.
746:2x 373
468:2x 2x 3x 3x 13
888:2x 2x 2x 3x 37
481:13x 37
137:137
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 3x 13x 37 = 11544
Therefore, the value for common factors is 11544.
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 = 20429761180608/(1x11544)
LCM = 20429761180608/11544
LCM = 1769729832
Thus, we can understand that the LCM of 746,468,888,481,137 is 1769729832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 746, 468, 888, 481, 137?
Answer: LCM of 746, 468, 888, 481, 137 is 1769729832.
2. How to calculate the LCM of 746, 468, 888, 481, 137?
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 746, 468, 888, 481, 137.
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}.