LCM of 831, 737, 660, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 737, 660, 612 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 831, 737, 660, 612. So, keep reading to learn more.
Given numbers are 831,737,660,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,737,660,612 is 624695940.
Find LCM of 831,737,660,612 with Prime Factorization
| 2 | 831, 737, 660, 612 |
| 2 | 831, 737, 330, 306 |
| 3 | 831, 737, 165, 153 |
| 11 | 277, 737, 55, 51 |
| 277, 67, 5, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 277 x 67 x 5 x 51 = 624695940
Therefore, the lowest common multiple of 831,737,660,612 is 624695940.
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.
831 x 737 x 660 x 612 = 247379592240
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.
831 : 1, 3, 277, 831
737 : 1, 11, 67, 737
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,737,660,612, is 1.
Now, the common factors can be found like this.
831:3x 277
737:11x 67
660:2x 2x 3x 5x 11
612:2x 2x 3x 3x 17
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 247379592240/(1x396)
LCM = 247379592240/396
LCM = 624695940
Thus, we can understand that the LCM of 831,737,660,612 is 624695940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 831, 737, 660, 612
1. What is the LCM of 831, 737, 660, 612?
Answer: LCM of 831, 737, 660, 612 is 624695940.
2. How to calculate the LCM of 831, 737, 660, 612?
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 831, 737, 660, 612.
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}.