Find the LCM of 508, 127, 824, 582, 310 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 508, 127, 824, 582, 310. So, keep reading to learn more.
Given numbers are 508,127,824,582,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,127,824,582,310 is 4720148040.
Find LCM of 508,127,824,582,310 with Prime Factorization
2 | 508, 127, 824, 582, 310 |
2 | 254, 127, 412, 291, 155 |
127 | 127, 127, 206, 291, 155 |
1, 1, 206, 291, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 127 x 1 x 1 x 206 x 291 x 155 = 4720148040
Therefore, the lowest common multiple of 508,127,824,582,310 is 4720148040.
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.
508 x 127 x 824 x 582 x 310 = 9591340817280
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.
508 : 1, 2, 4, 127, 254, 508
127 : 1, 127
824 : 1, 2, 4, 8, 103, 206, 412, 824
582 : 1, 2, 3, 6, 97, 194, 291, 582
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,127,824,582,310, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
127:127
824:2x 2x 2x 103
582:2x 3x 97
310:2x 5x 31
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 2x 127 = 2032
Therefore, the value for common factors is 2032.
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 = 9591340817280/(1x2032)
LCM = 9591340817280/2032
LCM = 4720148040
Thus, we can understand that the LCM of 508,127,824,582,310 is 4720148040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 127, 824, 582, 310?
Answer: LCM of 508, 127, 824, 582, 310 is 4720148040.
2. How to calculate the LCM of 508, 127, 824, 582, 310?
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 508, 127, 824, 582, 310.
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}.