Find the LCM of 315, 789, 363, 649, 737 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 315, 789, 363, 649, 737. So, keep reading to learn more.
Given numbers are 315,789,363,649,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,789,363,649,737 is 39625840485.
Find LCM of 315,789,363,649,737 with Prime Factorization
3 | 315, 789, 363, 649, 737 |
11 | 105, 263, 121, 649, 737 |
105, 263, 11, 59, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 105 x 263 x 11 x 59 x 67 = 39625840485
Therefore, the lowest common multiple of 315,789,363,649,737 is 39625840485.
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.
315 x 789 x 363 x 649 x 737 = 43152540288165
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
789 : 1, 3, 263, 789
363 : 1, 3, 11, 33, 121, 363
649 : 1, 11, 59, 649
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,789,363,649,737, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
789:3x 263
363:3x 11x 11
649:11x 59
737:11x 67
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 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 43152540288165/(1x1089)
LCM = 43152540288165/1089
LCM = 39625840485
Thus, we can understand that the LCM of 315,789,363,649,737 is 39625840485.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 789, 363, 649, 737?
Answer: LCM of 315, 789, 363, 649, 737 is 39625840485.
2. How to calculate the LCM of 315, 789, 363, 649, 737?
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 315, 789, 363, 649, 737.
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}.