Find the LCM of 33, 21, 67, 938 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 33, 21, 67, 938. So, keep reading to learn more.
Given numbers are 33,21,67,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 33,21,67,938 is 30954.
Find LCM of 33,21,67,938 with Prime Factorization
3 | 33, 21, 67, 938 |
7 | 11, 7, 67, 938 |
67 | 11, 1, 67, 134 |
11, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 67 x 11 x 1 x 1 x 2 = 30954
Therefore, the lowest common multiple of 33,21,67,938 is 30954.
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.
33 x 21 x 67 x 938 = 43552278
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.
33 : 1, 3, 11, 33
21 : 1, 3, 7, 21
67 : 1, 67
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 33,21,67,938, is 1.
Now, the common factors can be found like this.
33:3x 11
21:3x 7
67:67
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 67 = 1407
Therefore, the value for common factors is 1407.
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 = 43552278/(1x1407)
LCM = 43552278/1407
LCM = 30954
Thus, we can understand that the LCM of 33,21,67,938 is 30954.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 33, 21, 67, 938?
Answer: LCM of 33, 21, 67, 938 is 30954.
2. How to calculate the LCM of 33, 21, 67, 938?
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 33, 21, 67, 938.
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}.