Find the LCM of 933, 164, 706, 326, 752 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, 164, 706, 326, 752. So, keep reading to learn more.
Given numbers are 933,164,706,326,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,164,706,326,752 is 1655181603984.
Find LCM of 933,164,706,326,752 with Prime Factorization
2 | 933, 164, 706, 326, 752 |
2 | 933, 82, 353, 163, 376 |
933, 41, 353, 163, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 933 x 41 x 353 x 163 x 188 = 1655181603984
Therefore, the lowest common multiple of 933,164,706,326,752 is 1655181603984.
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 164 x 706 x 326 x 752 = 26482905663744
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
164 : 1, 2, 4, 41, 82, 164
706 : 1, 2, 353, 706
326 : 1, 2, 163, 326
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,164,706,326,752, is 1.
Now, the common factors can be found like this.
933:3x 311
164:2x 2x 41
706:2x 353
326:2x 163
752:2x 2x 2x 2x 47
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 26482905663744/(1x16)
LCM = 26482905663744/16
LCM = 1655181603984
Thus, we can understand that the LCM of 933,164,706,326,752 is 1655181603984.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 933, 164, 706, 326, 752?
Answer: LCM of 933, 164, 706, 326, 752 is 1655181603984.
2. How to calculate the LCM of 933, 164, 706, 326, 752?
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, 164, 706, 326, 752.
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}.