LCM of 732, 596, 732, 996, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 596, 732, 996, 309 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 732, 596, 732, 996, 309. So, keep reading to learn more.
Given numbers are 732,596,732,996,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,596,732,996,309 is 932422332.
Find LCM of 732,596,732,996,309 with Prime Factorization
| 2 | 732, 596, 732, 996, 309 |
| 2 | 366, 298, 366, 498, 309 |
| 3 | 183, 149, 183, 249, 309 |
| 61 | 61, 149, 61, 83, 103 |
| 1, 149, 1, 83, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 1 x 149 x 1 x 83 x 103 = 932422332
Therefore, the lowest common multiple of 732,596,732,996,309 is 932422332.
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.
732 x 596 x 732 x 996 x 309 = 98284773171456
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
596 : 1, 2, 4, 149, 298, 596
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,596,732,996,309, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
596:2x 2x 149
732:2x 2x 3x 61
996:2x 2x 3x 83
309:3x 103
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 2x 2x 2x 3x 3x 3x 61 = 105408
Therefore, the value for common factors is 105408.
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 = 98284773171456/(1x105408)
LCM = 98284773171456/105408
LCM = 932422332
Thus, we can understand that the LCM of 732,596,732,996,309 is 932422332.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 732, 596, 732, 996, 309
1. What is the LCM of 732, 596, 732, 996, 309?
Answer: LCM of 732, 596, 732, 996, 309 is 932422332.
2. How to calculate the LCM of 732, 596, 732, 996, 309?
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 732, 596, 732, 996, 309.
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}.