LCM of 933, 933, 839, 756, 155
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 933, 839, 756, 155 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, 933, 839, 756, 155. So, keep reading to learn more.
Given numbers are 933,933,839,756,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,933,839,756,155 is 30575660220.
Find LCM of 933,933,839,756,155 with Prime Factorization
| 3 | 933, 933, 839, 756, 155 |
| 311 | 311, 311, 839, 252, 155 |
| 1, 1, 839, 252, 155 |
Multiply the prime numbers at the bottom and the left side.
3 x 311 x 1 x 1 x 839 x 252 x 155 = 30575660220
Therefore, the lowest common multiple of 933,933,839,756,155 is 30575660220.
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 933 x 839 x 756 x 155 = 85581272955780
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
933 : 1, 3, 311, 933
839 : 1, 839
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,933,839,756,155, is 1.
Now, the common factors can be found like this.
933:3x 311
933:3x 311
839:839
756:2x 2x 3x 3x 3x 7
155:5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 311 = 2799
Therefore, the value for common factors is 2799.
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 = 85581272955780/(1x2799)
LCM = 85581272955780/2799
LCM = 30575660220
Thus, we can understand that the LCM of 933,933,839,756,155 is 30575660220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 933, 839, 756, 155
1. What is the LCM of 933, 933, 839, 756, 155?
Answer: LCM of 933, 933, 839, 756, 155 is 30575660220.
2. How to calculate the LCM of 933, 933, 839, 756, 155?
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, 933, 839, 756, 155.
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}.