Find the LCM of 755, 595, 880, 935, 915 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 755, 595, 880, 935, 915. So, keep reading to learn more.
Given numbers are 755,595,880,935,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,595,880,935,915 is 2893727760.
Find LCM of 755,595,880,935,915 with Prime Factorization
5 | 755, 595, 880, 935, 915 |
11 | 151, 119, 176, 187, 183 |
17 | 151, 119, 16, 17, 183 |
151, 7, 16, 1, 183 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 151 x 7 x 16 x 1 x 183 = 2893727760
Therefore, the lowest common multiple of 755,595,880,935,915 is 2893727760.
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.
755 x 595 x 880 x 935 x 915 = 338204431950000
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.
755 : 1, 5, 151, 755
595 : 1, 5, 7, 17, 35, 85, 119, 595
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
935 : 1, 5, 11, 17, 55, 85, 187, 935
915 : 1, 3, 5, 15, 61, 183, 305, 915
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,595,880,935,915, is 5.
Now, the common factors can be found like this.
755:5x 151
595:5x 7x 17
880:2x 2x 2x 2x 5x 11
935:5x 11x 17
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 11x 17 = 23375
Therefore, the value for common factors is 23375.
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 = 338204431950000/(5x23375)
LCM = 338204431950000/116875
LCM = 2893727760
Thus, we can understand that the LCM of 755,595,880,935,915 is 2893727760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 755, 595, 880, 935, 915?
Answer: LCM of 755, 595, 880, 935, 915 is 2893727760.
2. How to calculate the LCM of 755, 595, 880, 935, 915?
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 755, 595, 880, 935, 915.
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}.