Find the LCM of 457, 582, 291, 316 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 457, 582, 291, 316. So, keep reading to learn more.
Given numbers are 457,582,291,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,582,291,316 is 42023892.
Find LCM of 457,582,291,316 with Prime Factorization
2 | 457, 582, 291, 316 |
3 | 457, 291, 291, 158 |
97 | 457, 97, 97, 158 |
457, 1, 1, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 97 x 457 x 1 x 1 x 158 = 42023892
Therefore, the lowest common multiple of 457,582,291,316 is 42023892.
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.
457 x 582 x 291 x 316 = 24457905144
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.
457 : 1, 457
582 : 1, 2, 3, 6, 97, 194, 291, 582
291 : 1, 3, 97, 291
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,582,291,316, is 1.
Now, the common factors can be found like this.
457:457
582:2x 3x 97
291:3x 97
316:2x 2x 79
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 97 = 582
Therefore, the value for common factors is 582.
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 = 24457905144/(1x582)
LCM = 24457905144/582
LCM = 42023892
Thus, we can understand that the LCM of 457,582,291,316 is 42023892.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 457, 582, 291, 316?
Answer: LCM of 457, 582, 291, 316 is 42023892.
2. How to calculate the LCM of 457, 582, 291, 316?
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 457, 582, 291, 316.
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}.