Find the LCM of 807, 693, 732, 481, 112 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 807, 693, 732, 481, 112. So, keep reading to learn more.
Given numbers are 807,693,732,481,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,693,732,481,112 is 87514579152.
Find LCM of 807,693,732,481,112 with Prime Factorization
2 | 807, 693, 732, 481, 112 |
2 | 807, 693, 366, 481, 56 |
3 | 807, 693, 183, 481, 28 |
7 | 269, 231, 61, 481, 28 |
269, 33, 61, 481, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 269 x 33 x 61 x 481 x 4 = 87514579152
Therefore, the lowest common multiple of 807,693,732,481,112 is 87514579152.
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.
807 x 693 x 732 x 481 x 112 = 22053673946304
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.
807 : 1, 3, 269, 807
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
481 : 1, 13, 37, 481
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,693,732,481,112, is 1.
Now, the common factors can be found like this.
807:3x 269
693:3x 3x 7x 11
732:2x 2x 3x 61
481:13x 37
112:2x 2x 2x 2x 7
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 22053673946304/(1x252)
LCM = 22053673946304/252
LCM = 87514579152
Thus, we can understand that the LCM of 807,693,732,481,112 is 87514579152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 807, 693, 732, 481, 112?
Answer: LCM of 807, 693, 732, 481, 112 is 87514579152.
2. How to calculate the LCM of 807, 693, 732, 481, 112?
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 807, 693, 732, 481, 112.
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}.