Find the LCM of 285, 872, 703, 247, 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 285, 872, 703, 247, 737. So, keep reading to learn more.
Given numbers are 285,872,703,247,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,872,703,247,737 is 88099594440.
Find LCM of 285,872,703,247,737 with Prime Factorization
19 | 285, 872, 703, 247, 737 |
15, 872, 37, 13, 737 |
Multiply the prime numbers at the bottom and the left side.
19 x 15 x 872 x 37 x 13 x 737 = 88099594440
Therefore, the lowest common multiple of 285,872,703,247,737 is 88099594440.
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.
285 x 872 x 703 x 247 x 737 = 31803953592840
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
872 : 1, 2, 4, 8, 109, 218, 436, 872
703 : 1, 19, 37, 703
247 : 1, 13, 19, 247
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,872,703,247,737, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
872:2x 2x 2x 109
703:19x 37
247:13x 19
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.
19x 19 = 361
Therefore, the value for common factors is 361.
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 = 31803953592840/(1x361)
LCM = 31803953592840/361
LCM = 88099594440
Thus, we can understand that the LCM of 285,872,703,247,737 is 88099594440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 285, 872, 703, 247, 737?
Answer: LCM of 285, 872, 703, 247, 737 is 88099594440.
2. How to calculate the LCM of 285, 872, 703, 247, 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 285, 872, 703, 247, 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}.