LCM of 996, 957, 321, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 957, 321, 203 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 996, 957, 321, 203. So, keep reading to learn more.
Given numbers are 996,957,321,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,957,321,203 is 237975276.
Find LCM of 996,957,321,203 with Prime Factorization
| 3 | 996, 957, 321, 203 |
| 29 | 332, 319, 107, 203 |
| 332, 11, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 332 x 11 x 107 x 7 = 237975276
Therefore, the lowest common multiple of 996,957,321,203 is 237975276.
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.
996 x 957 x 321 x 203 = 62111547036
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
957 : 1, 3, 11, 29, 33, 87, 319, 957
321 : 1, 3, 107, 321
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,957,321,203, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
957:3x 11x 29
321:3x 107
203:7x 29
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 29 = 261
Therefore, the value for common factors is 261.
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 = 62111547036/(1x261)
LCM = 62111547036/261
LCM = 237975276
Thus, we can understand that the LCM of 996,957,321,203 is 237975276.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 996, 957, 321, 203
1. What is the LCM of 996, 957, 321, 203?
Answer: LCM of 996, 957, 321, 203 is 237975276.
2. How to calculate the LCM of 996, 957, 321, 203?
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 996, 957, 321, 203.
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}.