LCM of 773, 538, 671, 330, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 538, 671, 330, 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 773, 538, 671, 330, 747. So, keep reading to learn more.
Given numbers are 773,538,671,330,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,538,671,330,747 is 1042257180690.
Find LCM of 773,538,671,330,747 with Prime Factorization
| 2 | 773, 538, 671, 330, 747 |
| 3 | 773, 269, 671, 165, 747 |
| 11 | 773, 269, 671, 55, 249 |
| 773, 269, 61, 5, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 773 x 269 x 61 x 5 x 249 = 1042257180690
Therefore, the lowest common multiple of 773,538,671,330,747 is 1042257180690.
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.
773 x 538 x 671 x 330 x 747 = 68788973925540
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.
773 : 1, 773
538 : 1, 2, 269, 538
671 : 1, 11, 61, 671
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 773,538,671,330,747, is 1.
Now, the common factors can be found like this.
773:773
538:2x 269
671:11x 61
330:2x 3x 5x 11
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.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 68788973925540/(1x66)
LCM = 68788973925540/66
LCM = 1042257180690
Thus, we can understand that the LCM of 773,538,671,330,747 is 1042257180690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 538, 671, 330, 747
1. What is the LCM of 773, 538, 671, 330, 747?
Answer: LCM of 773, 538, 671, 330, 747 is 1042257180690.
2. How to calculate the LCM of 773, 538, 671, 330, 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 773, 538, 671, 330, 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}.