Find the LCM of 182, 998, 958, 441, 456 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 182, 998, 958, 441, 456. So, keep reading to learn more.
Given numbers are 182,998,958,441,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,998,958,441,456 is 208286723736.
Find LCM of 182,998,958,441,456 with Prime Factorization
2 | 182, 998, 958, 441, 456 |
3 | 91, 499, 479, 441, 228 |
7 | 91, 499, 479, 147, 76 |
13, 499, 479, 21, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 499 x 479 x 21 x 76 = 208286723736
Therefore, the lowest common multiple of 182,998,958,441,456 is 208286723736.
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.
182 x 998 x 958 x 441 x 456 = 34992169587648
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
998 : 1, 2, 499, 998
958 : 1, 2, 479, 958
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,998,958,441,456, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
998:2x 499
958:2x 479
441:3x 3x 7x 7
456:2x 2x 2x 3x 19
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 7 = 168
Therefore, the value for common factors is 168.
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 = 34992169587648/(1x168)
LCM = 34992169587648/168
LCM = 208286723736
Thus, we can understand that the LCM of 182,998,958,441,456 is 208286723736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 182, 998, 958, 441, 456?
Answer: LCM of 182, 998, 958, 441, 456 is 208286723736.
2. How to calculate the LCM of 182, 998, 958, 441, 456?
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 182, 998, 958, 441, 456.
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}.