Find the LCM of 938, 962, 955, 111, 805 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 938, 962, 955, 111, 805. So, keep reading to learn more.
Given numbers are 938,962,955,111,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,962,955,111,805 is 29730374310.
Find LCM of 938,962,955,111,805 with Prime Factorization
2 | 938, 962, 955, 111, 805 |
5 | 469, 481, 955, 111, 805 |
7 | 469, 481, 191, 111, 161 |
37 | 67, 481, 191, 111, 23 |
67, 13, 191, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 37 x 67 x 13 x 191 x 3 x 23 = 29730374310
Therefore, the lowest common multiple of 938,962,955,111,805 is 29730374310.
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.
938 x 962 x 955 x 111 x 805 = 77001669462900
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
962 : 1, 2, 13, 26, 37, 74, 481, 962
955 : 1, 5, 191, 955
111 : 1, 3, 37, 111
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,962,955,111,805, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
962:2x 13x 37
955:5x 191
111:3x 37
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 37 = 2590
Therefore, the value for common factors is 2590.
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 = 77001669462900/(1x2590)
LCM = 77001669462900/2590
LCM = 29730374310
Thus, we can understand that the LCM of 938,962,955,111,805 is 29730374310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 938, 962, 955, 111, 805?
Answer: LCM of 938, 962, 955, 111, 805 is 29730374310.
2. How to calculate the LCM of 938, 962, 955, 111, 805?
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 938, 962, 955, 111, 805.
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}.