Find the LCM of 455, 827, 913, 440, 945 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 455, 827, 913, 440, 945. So, keep reading to learn more.
Given numbers are 455,827,913,440,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,827,913,440,945 is 74206412280.
Find LCM of 455,827,913,440,945 with Prime Factorization
5 | 455, 827, 913, 440, 945 |
7 | 91, 827, 913, 88, 189 |
11 | 13, 827, 913, 88, 27 |
13, 827, 83, 8, 27 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 13 x 827 x 83 x 8 x 27 = 74206412280
Therefore, the lowest common multiple of 455,827,913,440,945 is 74206412280.
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.
455 x 827 x 913 x 440 x 945 = 142847343639000
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
827 : 1, 827
913 : 1, 11, 83, 913
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,827,913,440,945, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
827:827
913:11x 83
440:2x 2x 2x 5x 11
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11 = 1925
Therefore, the value for common factors is 1925.
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 = 142847343639000/(1x1925)
LCM = 142847343639000/1925
LCM = 74206412280
Thus, we can understand that the LCM of 455,827,913,440,945 is 74206412280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 827, 913, 440, 945?
Answer: LCM of 455, 827, 913, 440, 945 is 74206412280.
2. How to calculate the LCM of 455, 827, 913, 440, 945?
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 455, 827, 913, 440, 945.
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}.