Find the LCM of 685, 940, 705, 286, 118 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 685, 940, 705, 286, 118. So, keep reading to learn more.
Given numbers are 685,940,705,286,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,940,705,286,118 is 3259550580.
Find LCM of 685,940,705,286,118 with Prime Factorization
2 | 685, 940, 705, 286, 118 |
5 | 685, 470, 705, 143, 59 |
47 | 137, 94, 141, 143, 59 |
137, 2, 3, 143, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 137 x 2 x 3 x 143 x 59 = 3259550580
Therefore, the lowest common multiple of 685,940,705,286,118 is 3259550580.
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.
685 x 940 x 705 x 286 x 118 = 15319887726000
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.
685 : 1, 5, 137, 685
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
705 : 1, 3, 5, 15, 47, 141, 235, 705
286 : 1, 2, 11, 13, 22, 26, 143, 286
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,940,705,286,118, is 1.
Now, the common factors can be found like this.
685:5x 137
940:2x 2x 5x 47
705:3x 5x 47
286:2x 11x 13
118:2x 59
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 5x 5x 47 = 4700
Therefore, the value for common factors is 4700.
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 = 15319887726000/(1x4700)
LCM = 15319887726000/4700
LCM = 3259550580
Thus, we can understand that the LCM of 685,940,705,286,118 is 3259550580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 940, 705, 286, 118?
Answer: LCM of 685, 940, 705, 286, 118 is 3259550580.
2. How to calculate the LCM of 685, 940, 705, 286, 118?
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 685, 940, 705, 286, 118.
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}.