Find the LCM of 255, 772, 771, 534, 718 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 255, 772, 771, 534, 718. So, keep reading to learn more.
Given numbers are 255,772,771,534,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,772,771,534,718 is 1616497582020.
Find LCM of 255,772,771,534,718 with Prime Factorization
2 | 255, 772, 771, 534, 718 |
3 | 255, 386, 771, 267, 359 |
85, 386, 257, 89, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 85 x 386 x 257 x 89 x 359 = 1616497582020
Therefore, the lowest common multiple of 255,772,771,534,718 is 1616497582020.
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.
255 x 772 x 771 x 534 x 718 = 58193912952720
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
772 : 1, 2, 4, 193, 386, 772
771 : 1, 3, 257, 771
534 : 1, 2, 3, 6, 89, 178, 267, 534
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,772,771,534,718, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
772:2x 2x 193
771:3x 257
534:2x 3x 89
718:2x 359
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 3 = 36
Therefore, the value for common factors is 36.
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 = 58193912952720/(1x36)
LCM = 58193912952720/36
LCM = 1616497582020
Thus, we can understand that the LCM of 255,772,771,534,718 is 1616497582020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 255, 772, 771, 534, 718?
Answer: LCM of 255, 772, 771, 534, 718 is 1616497582020.
2. How to calculate the LCM of 255, 772, 771, 534, 718?
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 255, 772, 771, 534, 718.
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}.