Find the LCM of 914, 248, 182, 182 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, 248, 182, 182. So, keep reading to learn more.
Given numbers are 914,248,182,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,248,182,182 is 10313576.
Find LCM of 914,248,182,182 with Prime Factorization
2 | 914, 248, 182, 182 |
7 | 457, 124, 91, 91 |
13 | 457, 124, 13, 13 |
457, 124, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 457 x 124 x 1 x 1 = 10313576
Therefore, the lowest common multiple of 914,248,182,182 is 10313576.
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 248 x 182 x 182 = 7508283328
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
248 : 1, 2, 4, 8, 31, 62, 124, 248
182 : 1, 2, 7, 13, 14, 26, 91, 182
182 : 1, 2, 7, 13, 14, 26, 91, 182
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,248,182,182, is 2.
Now, the common factors can be found like this.
914:2x 457
248:2x 2x 2x 31
182:2x 7x 13
182:2x 7x 13
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 7508283328/(2x364)
LCM = 7508283328/728
LCM = 10313576
Thus, we can understand that the LCM of 914,248,182,182 is 10313576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 248, 182, 182?
Answer: LCM of 914, 248, 182, 182 is 10313576.
2. How to calculate the LCM of 914, 248, 182, 182?
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, 248, 182, 182.
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}.