LCM of 976, 114, 793, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 114, 793, 132 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 976, 114, 793, 132. So, keep reading to learn more.
Given numbers are 976,114,793,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,114,793,132 is 7955376.
Find LCM of 976,114,793,132 with Prime Factorization
| 2 | 976, 114, 793, 132 |
| 2 | 488, 57, 793, 66 |
| 3 | 244, 57, 793, 33 |
| 61 | 244, 19, 793, 11 |
| 4, 19, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 4 x 19 x 13 x 11 = 7955376
Therefore, the lowest common multiple of 976,114,793,132 is 7955376.
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.
976 x 114 x 793 x 132 = 11646670464
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
114 : 1, 2, 3, 6, 19, 38, 57, 114
793 : 1, 13, 61, 793
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,114,793,132, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
114:2x 3x 19
793:13x 61
132:2x 2x 3x 11
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 3x 61 = 1464
Therefore, the value for common factors is 1464.
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 = 11646670464/(1x1464)
LCM = 11646670464/1464
LCM = 7955376
Thus, we can understand that the LCM of 976,114,793,132 is 7955376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 976, 114, 793, 132
1. What is the LCM of 976, 114, 793, 132?
Answer: LCM of 976, 114, 793, 132 is 7955376.
2. How to calculate the LCM of 976, 114, 793, 132?
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 976, 114, 793, 132.
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}.