Find the LCM of 933, 946, 387, 118 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 933, 946, 387, 118. So, keep reading to learn more.
Given numbers are 933,946,387,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,946,387,118 is 156223386.
Find LCM of 933,946,387,118 with Prime Factorization
2 | 933, 946, 387, 118 |
3 | 933, 473, 387, 59 |
43 | 311, 473, 129, 59 |
311, 11, 3, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 311 x 11 x 3 x 59 = 156223386
Therefore, the lowest common multiple of 933,946,387,118 is 156223386.
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.
933 x 946 x 387 x 118 = 40305633588
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.
933 : 1, 3, 311, 933
946 : 1, 2, 11, 22, 43, 86, 473, 946
387 : 1, 3, 9, 43, 129, 387
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,946,387,118, is 1.
Now, the common factors can be found like this.
933:3x 311
946:2x 11x 43
387:3x 3x 43
118:2x 59
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 43 = 258
Therefore, the value for common factors is 258.
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 = 40305633588/(1x258)
LCM = 40305633588/258
LCM = 156223386
Thus, we can understand that the LCM of 933,946,387,118 is 156223386.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 933, 946, 387, 118?
Answer: LCM of 933, 946, 387, 118 is 156223386.
2. How to calculate the LCM of 933, 946, 387, 118?
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 933, 946, 387, 118.
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}.