Find the LCM of 720, 614, 391, 899, 918 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 720, 614, 391, 899, 918. So, keep reading to learn more.
Given numbers are 720,614,391,899,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,614,391,899,918 is 233092648080.
Find LCM of 720,614,391,899,918 with Prime Factorization
2 | 720, 614, 391, 899, 918 |
3 | 360, 307, 391, 899, 459 |
3 | 120, 307, 391, 899, 153 |
17 | 40, 307, 391, 899, 51 |
40, 307, 23, 899, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 40 x 307 x 23 x 899 x 3 = 233092648080
Therefore, the lowest common multiple of 720,614,391,899,918 is 233092648080.
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.
720 x 614 x 391 x 899 x 918 = 142652700624960
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
614 : 1, 2, 307, 614
391 : 1, 17, 23, 391
899 : 1, 29, 31, 899
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,614,391,899,918, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
614:2x 307
391:17x 23
899:29x 31
918:2x 3x 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 17 = 612
Therefore, the value for common factors is 612.
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 = 142652700624960/(1x612)
LCM = 142652700624960/612
LCM = 233092648080
Thus, we can understand that the LCM of 720,614,391,899,918 is 233092648080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 614, 391, 899, 918?
Answer: LCM of 720, 614, 391, 899, 918 is 233092648080.
2. How to calculate the LCM of 720, 614, 391, 899, 918?
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 720, 614, 391, 899, 918.
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}.