Find the LCM of 914, 394, 524, 746, 166 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 914, 394, 524, 746, 166. So, keep reading to learn more.
Given numbers are 914,394,524,746,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,394,524,746,166 is 1460496892964.
Find LCM of 914,394,524,746,166 with Prime Factorization
2 | 914, 394, 524, 746, 166 |
457, 197, 262, 373, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 197 x 262 x 373 x 83 = 1460496892964
Therefore, the lowest common multiple of 914,394,524,746,166 is 1460496892964.
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.
914 x 394 x 524 x 746 x 166 = 23367950287424
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.
914 : 1, 2, 457, 914
394 : 1, 2, 197, 394
524 : 1, 2, 4, 131, 262, 524
746 : 1, 2, 373, 746
166 : 1, 2, 83, 166
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,394,524,746,166, is 2.
Now, the common factors can be found like this.
914:2x 457
394:2x 197
524:2x 2x 131
746:2x 373
166:2x 83
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 2 = 8
Therefore, the value for common factors is 8.
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 = 23367950287424/(2x8)
LCM = 23367950287424/16
LCM = 1460496892964
Thus, we can understand that the LCM of 914,394,524,746,166 is 1460496892964.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 394, 524, 746, 166?
Answer: LCM of 914, 394, 524, 746, 166 is 1460496892964.
2. How to calculate the LCM of 914, 394, 524, 746, 166?
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 914, 394, 524, 746, 166.
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}.