LCM of 254, 575, 831, 700, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 575, 831, 700, 960 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 254, 575, 831, 700, 960. So, keep reading to learn more.
Given numbers are 254,575,831,700,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,575,831,700,960 is 27186331200.
Find LCM of 254,575,831,700,960 with Prime Factorization
| 2 | 254, 575, 831, 700, 960 |
| 2 | 127, 575, 831, 350, 480 |
| 3 | 127, 575, 831, 175, 240 |
| 5 | 127, 575, 277, 175, 80 |
| 5 | 127, 115, 277, 35, 16 |
| 127, 23, 277, 7, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 127 x 23 x 277 x 7 x 16 = 27186331200
Therefore, the lowest common multiple of 254,575,831,700,960 is 27186331200.
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.
254 x 575 x 831 x 700 x 960 = 81558993600000
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.
254 : 1, 2, 127, 254
575 : 1, 5, 23, 25, 115, 575
831 : 1, 3, 277, 831
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,575,831,700,960, is 1.
Now, the common factors can be found like this.
254:2x 127
575:5x 5x 23
831:3x 277
700:2x 2x 5x 5x 7
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 3x 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 81558993600000/(1x3000)
LCM = 81558993600000/3000
LCM = 27186331200
Thus, we can understand that the LCM of 254,575,831,700,960 is 27186331200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 254, 575, 831, 700, 960
1. What is the LCM of 254, 575, 831, 700, 960?
Answer: LCM of 254, 575, 831, 700, 960 is 27186331200.
2. How to calculate the LCM of 254, 575, 831, 700, 960?
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 254, 575, 831, 700, 960.
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}.