LCM of 731, 387, 771, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 387, 771, 747 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 731, 387, 771, 747. So, keep reading to learn more.
Given numbers are 731,387,771,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,387,771,747 is 140336649.
Find LCM of 731,387,771,747 with Prime Factorization
| 3 | 731, 387, 771, 747 |
| 3 | 731, 129, 257, 249 |
| 43 | 731, 43, 257, 83 |
| 17, 1, 257, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 17 x 1 x 257 x 83 = 140336649
Therefore, the lowest common multiple of 731,387,771,747 is 140336649.
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.
731 x 387 x 771 x 747 = 162930849489
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.
731 : 1, 17, 43, 731
387 : 1, 3, 9, 43, 129, 387
771 : 1, 3, 257, 771
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,387,771,747, is 1.
Now, the common factors can be found like this.
731:17x 43
387:3x 3x 43
771:3x 257
747:3x 3x 83
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 3x 43 = 1161
Therefore, the value for common factors is 1161.
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 = 162930849489/(1x1161)
LCM = 162930849489/1161
LCM = 140336649
Thus, we can understand that the LCM of 731,387,771,747 is 140336649.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 387, 771, 747
1. What is the LCM of 731, 387, 771, 747?
Answer: LCM of 731, 387, 771, 747 is 140336649.
2. How to calculate the LCM of 731, 387, 771, 747?
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 731, 387, 771, 747.
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}.